5. Sınıf Öğreniyorum Serisi Soru Bankası

["GEOMETR\u0130 VE \u00d6L\u00c7ME 4 \u00dcN\u0130TE Temel Geometrik Kavramlar ve \u00c7izimler 5. SINIF \u00dc\u00e7gen ve D\u00f6rtgenler Kazan\u0131mlar; Do\u011fru, do\u011fru par\u00e7as\u0131, \u0131\u015f\u0131n\u0131 a\u00e7\u0131klar ve sembolle g\u00f6sterir. M.5.2.1.1 Bir noktan\u0131n di\u011fer bir noktaya g\u00f6re konumunu y\u00f6n ve M.5.2.1.2 birim kullanarak ifade eder. Bir do\u011fru par\u00e7as\u0131na e\u015fit uzunlukta do\u011fru par\u00e7alar\u0131 \u00e7izer. M.5.2.1.3 90\u00b0\u2019lik bir a\u00e7\u0131y\u0131 referans alarak dar, dik ve geni\u015f a\u00e7\u0131lar\u0131 M.5.2.1.4 olu\u015fturur; olu\u015fturulmu\u015f bir a\u00e7\u0131n\u0131n dar, dik ya da geni\u015f M.5.2.1.5 a\u00e7\u0131l\u0131 oldu\u011funu belirler. M.5.2.1.6 Bir do\u011fruya \u00fczerindeki veya d\u0131\u015f\u0131ndaki bir noktadan M.5.2.2.1 dikme \u00e7izer. M.5.2.2.2 M.5.2.2.3 Bir do\u011fru par\u00e7as\u0131na paralel do\u011fru par\u00e7alar\u0131 in\u015fa eder, M.5.2.2.4 \u00e7izilmi\u015f do\u011fru par\u00e7alar\u0131n\u0131n paralel olup olmad\u0131\u011f\u0131n\u0131 yorumlar. \u00c7okgenleri isimlendirir, olu\u015fturur ve temel elemanlar\u0131n\u0131 tan\u0131r. A\u00e7\u0131lar\u0131na ve kenarlar\u0131na g\u00f6re \u00fc\u00e7genler olu\u015fturur, olu\u015fturulmu\u015f farkl\u0131 \u00fc\u00e7genleri kenar ve a\u00e7\u0131 \u00f6zelliklerine g\u00f6re s\u0131n\u0131\ufb02and\u0131r\u0131r. Dikd\u00f6rtgen, paralelkenar, e\u015fkenar d\u00f6rtgen ve yamu\u011fun temel elemanlar\u0131n\u0131 belirler ve \u00e7izer. \u00dc\u00e7gen ve d\u00f6rtgenlerin i\u00e7 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131n\u0131 belirler ve verilmeyen a\u00e7\u0131y\u0131 bulur.","\u00dcN\u0130TE NOTLANDIRMA \u00dcN\u0130TE \u00d6NCEL\u0130KLER\u0130M \u00dcN\u0130TEDEK\u0130 MOOD NOTLARIM F\u0130K\u0130RLER\u0130M FORM\u00dcLLER","Temel Geometrik Kavramlar \u2022 \u0130ki ucundan sonsuza kadar uzayan \u2022 Bir ucundan sonsuza kadar uzayan \u2022 \u0130ki ucundan s\u0131n\u0131rland\u0131r\u0131lm\u0131\u015f d\u00fcz d\u00fcz \u00e7izgiye do\u011fru denir. d\u00fcz \u00e7izgiye \u0131\u015f\u0131n denir. \u00e7izgiye do\u011fru par\u00e7as\u0131 denir. A Bd AB AB AB do\u011frusu, BA do\u011frusu Yukar\u0131daki \u015fekil AB \u0131\u015f\u0131n\u0131 \u015feklinde Yukar\u0131daki \u015fekil AB do\u011fru par\u00e7as\u0131 AB , BA veya d sembol\u00fc ile isimlendirilir. veya BA do\u011fru par\u00e7as\u0131 \u015feklinde [AB veya A\u2202B sembol\u00fc ile g\u00f6sterilir. isimlendirilir. g\u00f6sterilir. [AB], [BA], AB, BA sembol\u00fc ile \u2022Do\u011frunun u\u00e7lar\u0131nda bulunan ok g\u00f6sterilir. i\u015faretleri do\u011frunun istenildi\u011fi kadar uzat\u0131labilece\u011fi anlam\u0131n\u0131 ta\u015f\u0131r. Ayn\u0131 D\u00fczlemdeki \u0130ki Do\u011frunun Birbirine G\u00f6re Durumlar\u0131 \u2022 Bir noktada kesi\u015fen do\u011frulara ke- \u2022 Hi\u00e7 bir noktada kesi\u015fmeyen do\u011fru- \u2022 Ayn\u0131 d\u00fczlemde b\u00fct\u00fcn noktalar\u0131 or- si\u015fen do\u011frular denir. lara paralel do\u011frular denir. tak olan iki do\u011fruya \u00e7ak\u0131\u015f\u0131k do\u011fru- CB d Paralellik \u201c\/\/\u201d i\u015fareti ile g\u00f6sterilir. lar denir. K d~e AB bc CD AD e b ile c do\u011frular\u0131 \u00e7ak\u0131\u015f\u0131kt\u0131r. AB\/\/CD AB ve CD do\u011frular\u0131 K noktas\u0131nda kesi\u015fmektedir. 38 1.\t A\u015fa\u011f\u0131daki tabloda geometrik kavramlar\u0131n g\u00f6sterimleri, sembolleri ve okunu\u015flar\u0131 verilmi\u015ftir. Tablodaki bo\u015fluklar\u0131 doldurunuz. \u015eekille G\u00f6sterim Sembolle G\u00f6sterim Okunu\u015fu RP [AB] KL Do\u011frusu TV 202 5. S\u0131n\u0131f","Temel Geometrik Kavramlar 2.\t A\u015fa\u011f\u0131daki geometrik kavramlar\u0131 uygun g\u00f6sterim- 5.\t \t lerle e\u015fle\u015ftiriniz. a 1) A B a) AB\u00ba 2) A B b) [AB b ec 3) A B c) [AB] 4) A B d) AB\ufffd\u2202 d Noktal\u0131 ka\u011f\u0131tta verilen do\u011frulara g\u00f6re a\u015fa\u011f\u0131daki bo\u015fluklara \u201c~\u201d ve \u201c\/\/\u201d sembollerinden uygun olan- lar\u0131 yaz\u0131n\u0131z. 3.\t \t a) a .......... c\t c) b .......... e ABC b) d .......... a\t d) c .......... d DEF KL M 6.\t d Lale Cad. Yukar\u0131daki kareli ka\u011f\u0131tta verilen d do\u011frusunu cet- vel yard\u0131m\u0131yla uzatarak verilen noktalar\u0131n hangisi Papatya veya hangilerinden ge\u00e7ti\u011fini bulunuz. Cad. 4.\t \t a b 123. Cadde 235. Cadde c 324. Cadde 521. Cadde d Yukar\u0131da verilen haritaya g\u00f6re a\u015fa\u011f\u0131daki bo\u015fluk- lara \u201c~\u201d ve \u201c\/\/\u201d sembollerinden uygun olanlar\u0131 ya- Kareli ka\u011f\u0131tta yer alan do\u011frulara g\u00f6re a\u015fa\u011f\u0131da- z\u0131n\u0131z. ki ifadelerden do\u011fru olanlar\u0131n ba\u015f\u0131na \u201cD\u201d, yanl\u0131\u015f a) 123. cadde .......... Lale caddesi olanlar\u0131n ba\u015f\u0131na \u201cY\u201d yaz\u0131n\u0131z. b) Lale caddesi .......... Papatya caddesi a) (..........) a ~ c\t \u00e7) (..........) b ~ c c) 123. cadde .......... 521. cadde b) (..........) d \/\/ c\t d) (..........) a \/\/ b \u00e7) Lale caddesi .......... 235. cadde c) (..........) b \/\/ d\t e) (..........) a ~ d d) 324. cadde .......... 123. cadde e) 521. cadde .......... Papatya caddesi 5. S\u0131n\u0131f 203","Bir Noktan\u0131n Di\u011fer Noktaya G\u00f6re Konumu \u2022 \u0130ki noktan\u0131n birbirine g\u00f6re konumu belirlenirken sa\u011f, sol, yukar\u0131, a\u015fa\u011f\u0131 ifadeleri ve birimlerden yararlan\u0131l\u0131r. \u00d6rnek: A\u015fa\u011f\u0131da birim kareli ka\u011f\u0131t \u00fczerinde i\u015faretli A noktas\u0131n\u0131n B ve C Yukar\u0131 noktalar\u0131na g\u00f6re konumunu s\u00f6yleyelim. Sol Sa\u011f B A\u015fa\u011f\u0131 A A noktas\u0131, B noktas\u0131n\u0131n 3 birim sa\u011f\u0131nda ve 2 birim a\u015fa\u011f\u0131s\u0131ndad\u0131r. C A noktas\u0131, C noktas\u0131n\u0131n 1 birim yukar\u0131s\u0131nda ve 4 birim solundad\u0131r. 39 2.\t A\u015fa\u011f\u0131daki noktal\u0131 ka\u011f\u0131tta verilen; C 1.\t A\u015fa\u011f\u0131da verilen ifadeleri birim kareli ka\u011f\u0131tta nok- 1 br talar\u0131n birbirine g\u00f6re konumlar\u0131n\u0131 belirtecek \u015fe- 1 br A kilde tamamlay\u0131n\u0131z. BB A a)\t C noktas\u0131n\u0131n A noktas\u0131na g\u00f6re konumu C \t ........................................................................... D a)\t A noktas\u0131, B noktas\u0131n\u0131n...................................... b)\t B noktas\u0131n\u0131n A noktas\u0131na g\u00f6re konumu b)\t D noktas\u0131, C noktas\u0131n\u0131n..................................... \t ........................................................................... c)\t B noktas\u0131, D noktas\u0131n\u0131n...................................... d)\t C noktas\u0131, A noktas\u0131n\u0131n...................................... c)\t A noktas\u0131n\u0131n B noktas\u0131na g\u00f6re konumu \t ........................................................................... 204 5. S\u0131n\u0131f","Bir Noktan\u0131n Di\u011fer Noktaya G\u00f6re Konumu Van 3.\t A\u015fa\u011f\u0131da birim kareli ka\u011f\u0131t \u00fczerindeki T\u00fcrkiye haritas\u0131nda baz\u0131 noktalar verilmi\u015ftir. Samsun Eski\u015fehir Antalya a)\t Antalya\u2019n\u0131n Van\u2019a g\u00f6re konumu......................................................................................................................... b)\t Samsun\u2019un, Eski\u015fehir\u2019e g\u00f6re konumu................................................................................................................ c)\t Van\u2019\u0131n Samsun\u2019a g\u00f6re konumu.......................................................................................................................... d)\t Eski\u015fehir\u2019in, Antalya\u2019ya g\u00f6re konumu................................................................................................................. 4.\t A\u015fa\u011f\u0131da verilen birim kareli ka\u011f\u0131t \u00fczerinde g\u00f6sterilen 5.\t \t ABCDE FGH nesnelerin konumlar\u0131 ile ilgili ifadeler do\u011fru ise \u201cD\u201d, 1 yanl\u0131\u015f ise \u201cY\u201d yaz\u0131n\u0131z. 2 3 4 5 6 7 8 a)\t (.......)\t \u00c7ocuk, evin 2 birim yukar\u0131s\u0131nda, 1 birim Yukar\u0131da verilen satran\u00e7 tahtas\u0131nda siyah kalenin solundad\u0131r. konumunu beyaz \u015fah\u0131n konumuna g\u00f6re yaz\u0131n\u0131z. b)\t (.......)\t \u0130nek, \u00e7ocu\u011fun 4 birim sa\u011f\u0131nda, 1 birim a\u015fa\u011f\u0131s\u0131ndad\u0131r. c)\t (.......)\t A\u011fa\u00e7, evin 5 birim solunda, 1 birim yuka- r\u0131s\u0131ndad\u0131r. d)\t (.......)\t Ev, ine\u011fin 3 birim sa\u011f\u0131nda, 3 birim yuka- r\u0131s\u0131ndad\u0131r. 5. S\u0131n\u0131f 205","Uyguluyorum Temel Geometrik Kavramlar Test Noktalar\u0131n Birbirine G\u00f6re Konumu 49 1.\t \t 4.\t A BC AB \u00ac Yukar\u0131da verilen \u015fekil a\u015fa\u011f\u0131dakilerden hangisi- A\u015fa\u011f\u0131dakilerden hangisi, yukar\u0131daki do\u011frunun dir? sembolle g\u00f6sterimlerinden biri de\u011fildir? A) Nokta\t B) Do\u011fru C) Do\u011fru par\u00e7as\u0131\tD) I\u015f\u0131n A) AB\t B) BC\tD) \u00ac\tD) A\u00ac 2.\t C 5.\t A\u015fa\u011f\u0131da verilen \u015fekillerden hangisinin g\u00f6sterimi D yanl\u0131\u015ft\u0131r? A B A) B A [AB K LMN B) K L [KL] Yukar\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen AB do\u011f- C) M N MN rusu ile CD \u0131\u015f\u0131n\u0131 hangi noktada kesi\u015fir? D) P R [RP A) K\t B) L\tC) M\tD) N 3.\t 6.\t \t D T UV C B A PR B A Yukar\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen R nokta- Yukar\u0131daki \u015fekilden a\u015fa\u011f\u0131daki g\u00f6sterimlerden s\u0131 ile \u015fekildeki hangi nokta birle\u015ftirilirse AB do\u011f- hangisi elde edilemez? rusuna paralel olan bir do\u011fru \u00e7izilmi\u015f olur? A) [AD]\t B) [BD\tC) [CA]\tD) [DA A) P\t B) T\tC) U\tD) V 206 5. S\u0131n\u0131f","Test Temel Geometrik Kavramlar Uyguluyorum 49 Noktalar\u0131n Birbirine G\u00f6re Konumu DC 7.\t 10.\t B E D A AB C Yukar\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilmi\u015f olan Yukar\u0131da verilen birim kareli zemine g\u00f6re, a\u015fa\u011f\u0131- do\u011frular ile ilgili a\u015fa\u011f\u0131daki ifadelerden hangisi daki ifadelerden hangisi yanl\u0131\u015ft\u0131r? yanl\u0131\u015ft\u0131r? A)\tA noktas\u0131 B noktas\u0131n\u0131n 6 birim solundad\u0131r. B)\tC noktas\u0131 B noktas\u0131n\u0131n 2 birim sa\u011f\u0131n\u0131n 4 birim yu- A)\tAB ile EC do\u011frular\u0131 paraleldir. B)\tAD ile EC do\u011frular\u0131 birbirine diktir. kar\u0131s\u0131ndad\u0131r. C)\tAD ile EC do\u011frular\u0131 D noktas\u0131nda kesi\u015fir. C)\tC noktas\u0131 A noktas\u0131n\u0131n 8 birim sa\u011f\u0131n\u0131n 4 birim yu- D)\tAB ile AC do\u011frular\u0131 birbirine diktir. kar\u0131s\u0131ndad\u0131r. 8.\t 1 br D)\tD noktas\u0131 B noktas\u0131n\u0131n 6 birim solunda 4 birim yu- K LMN 1 br kar\u0131s\u0131ndad\u0131r. 11.\t \t AK Yukar\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen A nok- L tas\u0131n\u0131n 8 birim solunda 3 birim yukar\u0131s\u0131nda olan nokta a\u015fa\u011f\u0131dakilerden hangisidir? A) K\t B) L\tC) M\tD) N 9.\t \t\t\t A Birim kareli zemin \u00fczerinde K noktas\u0131nda k\u00f6pek ve L noktas\u0131nda kul\u00fcbe bulunmaktad\u0131r. Yukar\u0131da verilen A noktas\u0131n\u0131n 50 metre sa\u011f\u0131nda B noktas\u0131, B noktas\u0131n\u0131n 15 metre solunda da C noktas\u0131 Buna g\u00f6re kul\u00fcbenin k\u00f6pe\u011fe g\u00f6re konumu a\u015fa- bulunmaktad\u0131r. \u011f\u0131dakilerden hangisidir? Buna g\u00f6re A ile C noktalar\u0131 aras\u0131 ka\u00e7 metredir? A)\t5 birim solunda, 3 birim yukar\u0131s\u0131ndad\u0131r. B)\t5 birim sa\u011f\u0131nda, 3 birim a\u015fa\u011f\u0131s\u0131ndad\u0131r. A) 35\t B) 45\tC) 55\tD) 65 C)\t6 birim sa\u011f\u0131nda, 4 birim a\u015fa\u011f\u0131s\u0131ndad\u0131r. D)\t5 birim sa\u011f\u0131nda, 3 birim yukar\u0131s\u0131ndad\u0131r. 5. S\u0131n\u0131f 207","E\u015fit Uzunlukta Do\u011fru Par\u00e7as\u0131 \u00c7izme \u2022 Bir do\u011fru par\u00e7as\u0131na e\u015fit uzunlukta do\u011fru par\u00e7as\u0131 \u00e7iziminde u\u00e7 noktalar\u0131n birbirine g\u00f6re konumunda kullan\u0131lan bi- rimler dikkate al\u0131n\u0131r. \u00d6rnek: \u00d6rnek: AB do\u011fru par\u00e7as\u0131n\u0131n uzunlu\u011fu 3 birimdir. Ayn\u0131 A\u015fa\u011f\u0131daki kareli ka\u011f\u0131tta verilen AB, CD ve KL do\u011fru par\u00e7a- uzunluktaki iki do\u011fru par\u00e7as\u0131n\u0131 a\u015fa\u011f\u0131da \u00e7izelim. lar\u0131n\u0131n uzunluklar\u0131n\u0131 herhangi bir \u00f6l\u00e7me arac\u0131 olmadan kar- \u015f\u0131la\u015ft\u0131ral\u0131m. Do\u011fru par\u00e7alar\u0131n\u0131n u\u00e7 noktalar\u0131n\u0131n birbirine g\u00f6re 1 br A B K 1 br konumuna bakal\u0131m. 111 A 2 birim C L 2 birim CD 111 L B 3 birim D 3 birim 3 birim |AB| = |CD| = |KL| = 3 br\u2019dir. K 2 birim |AB| = |CD| = |KL| 40 2.\t A\u015fa\u011f\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen [AB] ye e\u015f olacak \u015fekilde [CD] \u00e7izilecektir. 1.\t A\u015fa\u011f\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen M nok- D noktas\u0131n\u0131n farkl\u0131 durumlar\u0131n\u0131 \u00e7iziniz. tas\u0131 ile \u015fekildeki hangi noktay\u0131 birle\u015ftirirsek, KL do\u011fru par\u00e7as\u0131na paralel olan bir do\u011fru par\u00e7as\u0131 B \u00e7izmi\u015f oluruz. AB L CD KM C A 208 5. S\u0131n\u0131f","E\u015fit Uzunlukta Do\u011fru Par\u00e7as\u0131 \u00c7izme 3.\t A\u015fa\u011f\u0131daki \u015fekilde verilen do\u011fru par\u00e7alar\u0131ndan 6.\t A\u015fa\u011f\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen do\u011fru par- hangileri e\u015ftir? \u00e7alar\u0131ndan \u00fc\u00e7\u00fc birbirine e\u015f ikisi farkl\u0131d\u0131r. AB A K CD B F KL DE L PR H G C Farkl\u0131 olanlar\u0131 bulunuz. 4.\t A\u015fa\u011f\u0131daki \u015fekilde verilen do\u011fru par\u00e7alar\u0131ndan 7.\t L hangileri e\u015ftir? B AR B LP C A A K K Yukar\u0131daki \u015fekilde verilen |KL|, |AB| nin ka\u00e7 ka- t\u0131d\u0131r? 5.\t 1 br 8.\t B A B 1 br C A D P D C R Yukar\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilenlere g\u00f6re a)\t |AB| + |BC| = ...............birim Yukar\u0131daki \u015fekilde verilen [PR] ye e\u015f olacak \u015fekilde b)\t |AB| \u2013 |AD| = ...............birimdir. [PX] \u00e7izilecektir. X verilen noktalardan hangisi olamaz? 5. S\u0131n\u0131f 209","Uyguluyorum E\u015fit Uzunlukta Do\u011fru Par\u00e7as\u0131 \u00c7izme Test 50 1.\t A\u015fa\u011f\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerine \u00e7izilmi\u015f olan do\u011f- 3.\t T ru par\u00e7alar\u0131ndan hangisi di\u011ferlerinden farkl\u0131d\u0131r? R SB A) B) P KA C) D) Yukar\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen AB do\u011f- ru par\u00e7as\u0131 ile \u00e7izilecek olan KX do\u011fru par\u00e7as\u0131 e\u015f olacaklar\u0131na g\u00f6re, X noktas\u0131 a\u015fa\u011f\u0131dakilerden hangisi olamaz? A) P\t B) R\tC) S\tD) T 4.\t PRST A 2.\t A\u015fa\u011f\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerine \u00e7izilmi\u015f olan do\u011f- ru par\u00e7alar\u0131ndan hangisi di\u011ferlerinden farkl\u0131d\u0131r? A) B) K B C) D) Yukar\u0131daki noktal\u0131 ka\u011f\u0131t \u00fczerinde verilen AB do\u011f- ru par\u00e7as\u0131na e\u015f bir do\u011fru par\u00e7as\u0131 \u00e7izmek i\u00e7in K noktas\u0131 ile \u015fekildeki hangi nokta birle\u015ftirilmeli- dir? A) P\t B) R\tC) S\tD) T 210 5. S\u0131n\u0131f","Test E\u015fit Uzunlukta Do\u011fru Par\u00e7as\u0131 \u00c7izme Uyguluyorum 50 7.\t Hakan, a\u015fa\u011f\u0131daki \u015fekilde verilen [AB]\u2019na e\u015f olacak 5.\t \u015fekilde [CD]\u2019n\u0131 \u00e7izecektir. Ayn\u0131 noktal\u0131 zemine \u00e7izilmi\u015f olan a\u015fa\u011f\u0131daki do\u011f- B ru par\u00e7alar\u0131ndan hangisi yukar\u0131da verilen do\u011fru par\u00e7as\u0131 ile e\u015f de\u011fildir? A A) B) Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? C) D) A)\tC noktas\u0131 D noktas\u0131n\u0131n 2 birim sa\u011f\u0131n\u0131n 6 birim yu- kar\u0131s\u0131nda olabilir. B)\tC noktas\u0131 D noktas\u0131n\u0131n 6 birim sa\u011f\u0131n\u0131n 2 birim yu- kar\u0131s\u0131nda olabilir. C)\tC noktas\u0131 D noktas\u0131n\u0131n 2 birim solunun 6 birim yu- kar\u0131s\u0131nda olabilir. D)\tC noktas\u0131 D noktas\u0131n\u0131n 3 birim sa\u011f\u0131n\u0131n 6 birim yu- kar\u0131s\u0131nda olabilir. 8.\t 1 br A C 1 br 6.\t A R LT P EK U B B D Yukar\u0131daki noktal\u0131 zeminde verilen do\u011fru par\u00e7a- Yukar\u0131da noktal\u0131 zemin \u00fczerinde verilen AB do\u011f- lar\u0131ndan hangisinin e\u015fi \u00e7izilmemi\u015ftir? ru par\u00e7as\u0131n\u0131n uzunlu\u011fu ile AC do\u011fru par\u00e7as\u0131n\u0131n uzunlu\u011fu toplam\u0131 ka\u00e7t\u0131r? A) [DE]\t B) [KL]\tC) [TU]\tD) [AB] A) 11\t B) 10\tC) 9\tD) 8 5. S\u0131n\u0131f 211","A\u00e7\u0131 \u00c7e\u015fitleri Ba\u015flang\u0131\u00e7 noktalar\u0131 ortak olan iki \u0131\u015f\u0131n\u0131n olu\u015fturdu\u011fu \u015fekle a\u00e7\u0131 denir. A Verilen a\u00e7\u0131 B, ABC ve CBA olmak \u00fczere 3 farkl\u0131 \u015fekilde isimlendirilebiir. ABC ve CBA \u015feklinde yaz\u0131ld\u0131\u011f\u0131nda k\u00f6\u015fedeki harf ortada olmal\u0131d\u0131r. Sembolle; B,\uf8ff ABC\u2211 , CBA\u2211 \u015feklinde g\u00f6sterilir. B C Bu a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc m(B)\uf8ff , m(ABC\u2211 ) veya m(CBA\u2211 ) \u015feklinde g\u00f6sterilir. Dar A\u00e7\u0131: Dik A\u00e7\u0131: Geni\u015f A\u00e7\u0131: Do\u011fru A\u00e7\u0131: \u00d6l\u00e7\u00fcs\u00fc 0\u00b0 ile 90\u00b0 aras\u0131nda \u00d6l\u00e7\u00fcs\u00fc 90\u00b0 olan a\u00e7\u0131lard\u0131r. \u00d6l\u00e7\u00fcs\u00fc 90\u00b0 ile 180\u00b0 aras\u0131n- \u00d6l\u00e7\u00fcs\u00fc 180\u00b0 olan a\u00e7\u0131lard\u0131r. olan a\u00e7\u0131lard\u0131r. da olan a\u00e7\u0131lard\u0131r. 180\u00b0 KD P AB C 72\u00b0 M E 138\u00b0 m(AB\u2211C) = 180\u00b0 oldu\u011fun- L F R dan do\u011fru a\u00e7\u0131d\u0131r. S m(KL\u2211M) = 72\u00b0 oldu\u011fundan m(E)\uf8ff = 90\u00b0 oldu\u011fundan dik m(R\uf8ff) = 138\u00b0 oldu\u011fundan dar a\u00e7\u0131d\u0131r. a\u00e7\u0131d\u0131r. geni\u015f a\u00e7\u0131d\u0131r. 41 1.\t A\u015fa\u011f\u0131da verilen a\u00e7\u0131lar\u0131n isimlerini ve \u00e7e\u015fidini yaz\u0131n\u0131z. a) G b) c) N V \u00e7) T A Z B C M Y HJ A\u00e7\u0131n\u0131n ad\u0131 : A\u00e7\u0131n\u0131n ad\u0131 : A\u00e7\u0131n\u0131n ad\u0131 : A\u00e7\u0131n\u0131n ad\u0131 : \u00c7e\u015fidi : \u00c7e\u015fidi : \u00c7e\u015fidi : \u00c7e\u015fidi : 2.\t A\u015fa\u011f\u0131daki bo\u015fluklar\u0131 doldurunuz. 3.\t A\u015fa\u011f\u0131da bir kolu verilen a\u00e7\u0131n\u0131n A k\u00f6\u015fesinin birle\u015ftiri- \t a)\t \u00d6l\u00e7\u00fcs\u00fc 90\u00b0 olan a\u00e7\u0131ya ................... denir. lece\u011fi noktaya g\u00f6re \u00e7e\u015fidini bulunuz. \t b)\t \u00d6l\u00e7\u00fcs\u00fc 0\u00b0 ile 90\u00b0 aras\u0131nda olan a\u00e7\u0131lara ................. D E denir. C \t c)\t A\u00e7\u0131lar 3 harfle isimlendirilirken ................... ortaya AB yaz\u0131l\u0131r. a)\t C ile birle\u015firse \u2020 .............................................. \t d)\t K a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc sembolle ................... \u015feklinde b)\t D ile birle\u015firse \u2020 .............................................. g\u00f6sterilir. c)\t E ile birle\u015firse \u2020 .............................................. 212 5. S\u0131n\u0131f","A\u00e7\u0131 \u00c7e\u015fitleri 4.\t A\u015fa\u011f\u0131da baz\u0131 a\u00e7\u0131lar\u0131n \u00f6l\u00e7\u00fcleri verilmi\u015ftir. \u00d6l\u00e7\u00fclere g\u00f6re a\u00e7\u0131n\u0131n ad\u0131n\u0131 ilgili kutucu\u011fun i\u00e7ine yaz\u0131n\u0131z. P YZ MK 138\u00b0 A C TM V 43\u00b0 L B S VE A P 64\u00b0 T \u015e 162\u00b0 O 145\u00b0 M \u00c7J R Y G \u011e MD R Z 58\u00b0 K D 158\u00b0 N \u00c7 H a) b) c) d) Dar A\u00e7\u0131 Dik A\u00e7\u0131 Geni\u015f A\u00e7\u0131 Do\u011fru A\u00e7\u0131 5.\t A\u015fa\u011f\u0131da verilen a\u00e7\u0131lar\u0131n \u00e7e\u015fitlerini yaz\u0131n\u0131z. 6.\t A\u015fa\u011f\u0131da verilen noktal\u0131 ka\u011f\u0131da bir kolu a\u015fa\u011f\u0131daki gibi olacak \u015fekilde istenilen a\u00e7\u0131lar\u0131 \u00e7iziniz. D E a) Dik A\u00e7\u0131 C M 34\u00b0 T 56\u00b0 48\u00b0 42\u00b0 b) Dar A\u00e7\u0131 AB F a)\t ABC a\u00e7\u0131s\u0131 \u2020 ..................................................... b)\t CBE a\u00e7\u0131s\u0131 \u2020 ..................................................... c)\t ABE a\u00e7\u0131s\u0131 \u2020 ..................................................... \u00e7)\t FBD a\u00e7\u0131s\u0131 \u2020 ..................................................... KS d)\t EBF a\u00e7\u0131s\u0131 \u2020 ..................................................... c) Geni\u015f A\u00e7\u0131 Y L e)\t EBD a\u00e7\u0131s\u0131 \u2020 ..................................................... f)\t ABD a\u00e7\u0131s\u0131 \u2020 ..................................................... 5. S\u0131n\u0131f 213","Uyguluyorum A\u00e7\u0131 \u00c7e\u015fitleri Test 4.\t 51 1.\t Yanda verilen a\u00e7\u0131n\u0131n okunu\u015fu P a\u015fa\u011f\u0131dakilerden hangisidir? S 40\u00b0 ? 140\u00b0 A) PRS a\u00e7\u0131s\u0131\t B) SPR a\u00e7\u0131s\u0131 T C) RPS a\u00e7\u0131s\u0131\tD) P a\u00e7\u0131s\u0131 R 2.\t A\u015fa\u011f\u0131daki a\u00e7\u0131lardan hangisi dar a\u00e7\u0131d\u0131r? Yukar\u0131da verilen T a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? A) B) A) 140\t B) 130\tC) 120\tD) 110 C) D) 5.\t A\u015fa\u011f\u0131daki harflerden hangisinde do\u011fru par\u00e7a- lar\u0131n\u0131n kesi\u015fti\u011fi yerde di\u011ferlerinden farkl\u0131 bir a\u00e7\u0131 olu\u015fmu\u015ftur? A) B) C) D) 3.\t B A 6.\t I.\t Bir A a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc, bir dik a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcn\u00fcn 20\u00b0 B eksi\u011fidir. C \t II.\t \tBir B a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc bir geni\u015f a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcn\u00fcn en k\u00fc\u00e7\u00fck do\u011fal say\u0131 de\u011feridir. \t III.\tBir C a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc bir dar a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcn\u00fcn en b\u00fcy\u00fck do\u011fal say\u0131 de\u011feridir. \u015eekilde verilen \u0131\u015f\u0131nlar ba\u015flang\u0131\u00e7 noktalar\u0131 \u00fcst \t IV.\tBir D a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc bir dik a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. \u00fcste gelecek \u015fekilde kayd\u0131r\u0131ld\u0131\u011f\u0131nda olu\u015fan a\u00e7\u0131- n\u0131n \u00e7e\u015fidi a\u015fa\u011f\u0131dakilerden hangisidir? Yukar\u0131da verilen ifadelere g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? A) Dar A\u00e7\u0131\t B) Dik A\u00e7\u0131 A) m(A)\uf8ff = 60\u00b0\t B) m(B\uf8ff) = 91\u00b0 C) Do\u011fru A\u00e7\u0131\tD) Geni\u015f A\u00e7\u0131 C) m(C)\uf8ff = 89\u00b0\tD) m(D\uf8ff) = 90\u00b0 214 5. S\u0131n\u0131f","Test A\u00e7\u0131 \u00c7e\u015fitleri Uyguluyorum 51 7.\t 10.\t \t D D E C C 42\u00b0 51\u00b048\u00b024\u00b0 A A B E F F B Kareli zeminde verilen \u015fekille ilgili a\u015fa\u011f\u0131daki ifa- Yukar\u0131da verilen \u015fekilde a\u015fa\u011f\u0131daki a\u00e7\u0131 \u00e7e\u015fitlerin- delerden hangisi yanl\u0131\u015ft\u0131r? den hangisine \u00f6rnek olacak a\u00e7\u0131 yoktur? A)\tABF a\u00e7\u0131s\u0131 do\u011fru a\u00e7\u0131d\u0131r. A) Dar a\u00e7\u0131\t B) Dik a\u00e7\u0131 B)\tDBF a\u00e7\u0131s\u0131 dik a\u00e7\u0131d\u0131r. C)\tCBE a\u00e7\u0131s\u0131 dik a\u00e7\u0131d\u0131r. C) Do\u011fru a\u00e7\u0131\tD) Geni\u015f a\u00e7\u0131 D)\tEBF a\u00e7\u0131s\u0131 dar a\u00e7\u0131d\u0131r. 11.\t \t 8.\t \t BA CL D K Yukar\u0131da verilen a\u00e7\u0131lardan ka\u00e7 tanesi geni\u015f a\u00e7\u0131- Yukar\u0131daki kareli zeminde verilen KL \u0131\u015f\u0131n\u0131n\u0131n K d\u0131r? noktas\u0131 hangi nokta ile birle\u015firse geni\u015f a\u00e7\u0131 olu- \u015fur? A) 1\t B) 2\tC) 3\tD) 4 A) D\t B) C\tC) B\tD) A 9.\t Noktal\u0131 ka\u011f\u0131tta verilen noktalar \u0131\u015f\u0131n olu\u015fturacak \u015fe- 12.\t A\u015fa\u011f\u0131daki saatlerden hangisinde akrep ile yelko- kilde birle\u015ftirilerek a\u00e7\u0131 elde edilecektir. van\u0131n olu\u015fturdu\u011fu k\u00fc\u00e7\u00fck a\u00e7\u0131 dik a\u00e7\u0131d\u0131r? A) B) AB DC Buna g\u00f6re hangi \u0131\u015f\u0131nlar \u00e7izilirse dik a\u00e7\u0131 elde edi- C) D) lir? A) [DA ile [DC\t B) [CB ile [CD C) [BA ile [BD\tD) [BC ile [BA 5. S\u0131n\u0131f 215","Bir Do\u011fruya Bir Noktadan Dikme \u00c7izme \u2022\t Bir do\u011fruya \u00fczerindeki bir noktadan dikme \u00e7izelim. \t \u00d6ncelikle bir d do\u011frusu \u00e7izelim ve \u00fczerinde bir K noktas\u0131 belirleyelim. Pergelin ucunu rastgele a\u00e7arak, sivri ucunu K noktas\u0131na koyal\u0131m ve do\u011fruyu iki nok- tada kesecek \u015fekilde yaylar \u00e7izelim. Bu noktalara A ve B noktalar\u0131 diyelim. d A K B Pergelin ayaklar\u0131n\u0131 |AK|\u2019ndan biraz fazla a\u00e7arak, pergelin sivri ucunu A ve B noktala- r\u0131na koyup, birbirini kesen yaylar \u00e7izelim. Yaylar\u0131n kesi\u015fti\u011fi noktaya C noktas\u0131 diyelim. C ile K noktalar\u0131n\u0131 birle\u015ftirdi\u011fimizde d do\u011frusuna \u00fczerinde i\u015faretli bir noktadan dikme \u00e7izmi\u015f oluruz. d \t A K B [KC] ~ d \u2022\t Bir do\u011fruya d\u0131\u015f\u0131ndaki bir noktadan dikme \u00e7izelim. G\u00f6nye ya da a\u00e7\u0131 \u00f6l\u00e7er kullanarak \u00e7izebiliriz. \td G\u00f6nyenin dik kenarlar\u0131ndan biri d do\u011frusu ile \u00e7ak\u0131\u015facak, di\u011fer kenar\u0131 ise P nok- tas\u0131 \u00fczerinde olacak \u015fekilde g\u00f6nye do\u011fru \u00fczerine yerle\u015ftirilir. P P noktas\u0131ndan do\u011fruya do\u011fru bir do\u011fru par\u00e7as\u0131 \u00e7izilir. d R [PR] ~ d NOT: A\u00e7\u0131 \u00f6l\u00e7er kullan\u0131rken de P noktas\u0131 90\u00b0\u2019lik a\u00e7\u0131y\u0131 belirten yere getirilir. A\u00e7\u0131 \u00f6l\u00e7erin merkezi do\u011fru \u00fcze- rinde i\u015faretlenir. \u0130\u015faretlenen nokta ile P noktas\u0131 birle\u015ftirildi\u011finde, dikme \u00e7izilmi\u015f olur. NOT: Bir do\u011fruya d\u0131\u015f\u0131ndaki bir noktadan \u00e7izilebilecek en k\u0131sa uzakl\u0131k, dikmedir. 42 2.\t A\u015fa\u011f\u0131da verilen do\u011frulara d\u0131\u015f\u0131ndaki bir noktadan dikme \u00e7iziniz. 1.\t A\u015fa\u011f\u0131da verilen do\u011frulara \u00fczerindeki noktadan a) m bir dikme \u00e7iziniz. a) R dR b) \u00ac b) Y C n 216 5. S\u0131n\u0131f","Bir Do\u011fru Par\u00e7as\u0131na Paralel Do\u011fru Par\u00e7alar\u0131 \u00c7izme \u2022\t \u0130ki do\u011fru par\u00e7as\u0131n\u0131n paralel olmas\u0131 i\u00e7in kar\u015f\u0131l\u0131kl\u0131 noktalar aras\u0131ndaki uzakl\u0131\u011f\u0131n ayn\u0131 olmas\u0131 gerekir. \t C A [AB] \/\/ [CD] \/\/ [EF] Do\u011fru par\u00e7alar\u0131n\u0131n paralel olmas\u0131 i\u00e7in e\u015fit uzunlukta olmalar\u0131 3 br E gerekmez. 5 br B noktas\u0131ndan 2 birim sa\u011fa, 3 birim yukar\u0131ya gidildi\u011finde A noktas\u0131na ula\u015f\u0131l\u0131r. 3 br 5 br F B D A C Benzer \u015fekilde D noktas\u0131ndan 2 birim sa\u011fa, 3 birim yukar\u0131ya 3 br 3 br gidildi\u011finde C noktas\u0131na ula\u015f\u0131l\u0131r. B 2 br D 2 br Bu durumda bu iki do\u011fru par\u00e7as\u0131 paraleldir. [AB] \/\/ [CD] 43 2.\t A\u015fa\u011f\u0131daki do\u011fru par\u00e7alar\u0131ndan birbirine paralel olanlar\u0131 belirleyip, sembolle g\u00f6steriniz. 1.\t A\u015fa\u011f\u0131daki do\u011fru par\u00e7alar\u0131na paralel do\u011fru par\u00e7a- lar\u0131 \u00e7iziniz. E a) AB D C F G J L H b) R KM NP S c) a) b) c) d) 5. S\u0131n\u0131f 217","Uyguluyorum Bir Do\u011fruya Dikme \u00c7izme Test Bir Do\u011fru Par\u00e7as\u0131na Paralel Do\u011fru Par\u00e7as\u0131 \u00c7izme 52 1.\t 4.\t A\u015fa\u011f\u0131dakilerden hangisinde bir do\u011fruya dikme \u00e7izilmi\u015ftir? P R T M A) B) Y Z N Kareli ka\u011f\u0131t \u00fczerinde verilen PR do\u011fru par\u00e7as\u0131na C) D) paralel bir do\u011fru par\u00e7as\u0131n\u0131n \u00e7izilebilmesi i\u00e7in M noktas\u0131 hangi nokta ile birle\u015ftirilmelidir? A) N\t B) T\tC) Y\tD) Z 5.\t \t Ad 2.\t E J L A G CB F M C D K DB E H Kareli ka\u011f\u0131t \u00fczerinde verilen do\u011fru par\u00e7alar\u0131 ile Yukar\u0131da verilen d do\u011frusuna dikme \u00e7izilebilmesi ilgili a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? i\u00e7in A noktas\u0131 a\u015fa\u011f\u0131daki hangi nokta ile birle\u015fti- rilmelidir? A) B\t B) C\tC) D\tD) E A) [AB] \/\/ [JK]\t B) [CD] \/\/ [EF] C) [GH] \/\/ [LM]\tD) [EF] \/\/ [GH] 3.\t 6.\t B F B A E A CE D F H G D CG AB do\u011fru par\u00e7as\u0131na paralel bir do\u011fru par\u00e7as\u0131n\u0131n Kareli ka\u011f\u0131t \u00fczerinde verilen do\u011fru par\u00e7alar\u0131ndan \u00e7izilebilmesi i\u00e7in D noktas\u0131 ile verilen noktalardan hangi ikisi aras\u0131ndaki mesafe her noktada e\u015fittir? hangisi birle\u015ftirilmelidir? A) [CD] ile [GH]\t B) [AB] ile [GH] A) C\t B) E\tC) F\tD) G C) [AB] ile [EF]\tD) [CD] ile [EF] 218 5. S\u0131n\u0131f","Test Bir Do\u011fruya Dikme \u00c7izme Uyguluyorum 52 Bir Do\u011fru Par\u00e7as\u0131na Paralel Do\u011fru Par\u00e7as\u0131 \u00c7izme 7.\t I. A C [AB]\/\/[CD] 10.\t A\u015fa\u011f\u0131daki se\u00e7eneklerin hangisinde birbirine pa- ralel do\u011fru par\u00e7alar\u0131 \u00e7izilmi\u015ftir? B D A) B) II. E C) D) F [EF]~d d K III. L m [KL]~m Yukar\u0131da verilen g\u00f6sterimlerden hangileri do\u011fru- dur? A) Yaln\u0131z III\t B) I ve II C) I ve III\tD) I, II ve III 8.\t A B FC ED 11.\t A\u015fa\u011f\u0131daki kareli zeminde geometrik \u015fekiller \u00e7izilmi\u015f- tir. Kareli zeminde verilen \u015fekille ilgili a\u015fa\u011f\u0131daki ifa- delerden hangisi do\u011frudur? A Ck A) [AF] \/\/ [BC]\t B) [AF] \/\/ [CD] \u00ac B C) [EF] ~ [DE]\tD) [BC] ~ [CD] m D 9.\t \t A B \t Buna g\u00f6re \t I.\t [AB] ~ k E DC \t II.\t [CD] ~ k \t III.\t[AB] \/\/ [CD] \t IV.\t[CD] ~ \u00ac Kareli zeminde verilen \u015fekille ilgili a\u015fa\u011f\u0131daki ifa- \t V.\t [CD] ~ m delerden hangisi yanl\u0131\u015ft\u0131r? Yukar\u0131da verilen ifadelerden ka\u00e7 tanesi do\u011fru- A) [AB] \/\/ [AE]\t B) [BD] \/\/ [AE] dur? C) [AB] \/\/ [ED]\tD) [CD] \/\/ [AB] A) 2\t B) 3\tC) 4\tD) 5 5. S\u0131n\u0131f 219","Ba\u015far\u0131yorum Temel Geometrik Kavramlar Test 53 1.\t A\u015fa\u011f\u0131da kare \u015feklinde verilen ka\u011f\u0131t \u015fekillerde g\u00f6sterildi\u011fi gibi kenarlar\u0131 \u00e7ak\u0131\u015facak \u015fekilde her seferinde orta nokta- lar\u0131ndan katlan\u0131yor. Son durumda elde edilen \u015fekil a\u00e7\u0131larak kat izleri k\u0131rm\u0131z\u0131 kalemle \u00e7iziliyor. Buna g\u00f6re olu\u015fan do\u011fru par\u00e7alar\u0131 ile ilgili a\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? A)\t3 tane do\u011fru par\u00e7as\u0131 olu\u015fur, 3\u2019\u00fc de birbirine paraleldir. B)\t3 tane do\u011fru par\u00e7as\u0131 olu\u015fur, 2\u2019si birbirine paraleldir, di\u011feri bu 2 do\u011fru par\u00e7as\u0131na diktir. C)\t4 tane do\u011fru par\u00e7as\u0131 olu\u015fur, do\u011fru par\u00e7alar\u0131 iki\u015ferli olarak birbirine paraleldir. D)\t4 tane do\u011fru par\u00e7as\u0131 olu\u015fur, 3\u2019\u00fc birbirine paraleldir, di\u011feri bu 3 do\u011fru par\u00e7as\u0131na diktir. 2.\t Bir masan\u0131n etraf\u0131nda oturan d\u00f6rt \u00f6\u011frenci birim kareli zemin \u00fczerinde g\u00f6sterilen D\u00fczce ilinin haritas\u0131nda kendi bak\u0131\u015f a\u00e7\u0131lar\u0131na g\u00f6re il merkezinin il\u00e7elerinin bulundu\u011fu noktaya g\u00f6re konumunu s\u00f6ylemektedirler. As\u0131m Yakup As\u0131m\t :\t D\u00fczce, Ak\u00e7akoca\u2019n\u0131n 3 birim a\u015fa\u011f\u0131s\u0131n- dad\u0131r. Karadeniz Ak\u00e7akoca G\u00f6n\u00fcl\t :\t D\u00fczce, G\u00fcm\u00fc\u015fova\u2019n\u0131n 2 birim solunun 1 birim yukar\u0131s\u0131ndad\u0131r. Cumayeri Kadir\t :\t D\u00fczce, Kayna\u015fl\u0131\u2019n\u0131n 2 birim yukar\u0131s\u0131n\u0131n G\u00fcm\u00fc\u015fova \u00c7elimli Y\u0131\u011f\u0131lca 2 birim solundad\u0131r. D\u00fczce G\u00f6n\u00fcl G\u00f6lyaka Kayna\u015fl\u0131 Yakup\t :\t D\u00fczce, Y\u0131\u011f\u0131lca\u2019n\u0131n 3 birim solunun 1 bi- rim a\u015fa\u011f\u0131s\u0131ndad\u0131r. Kadir Buna g\u00f6re hangi \u00f6\u011frencinin vermi\u015f oldu\u011fu bilgi yanl\u0131\u015ft\u0131r? A) As\u0131m\t B) G\u00f6n\u00fcl\tC) Kadir\tD) Yakup 220 5. S\u0131n\u0131f","Test Temel Geometrik Kavramlar Ba\u015far\u0131yorum 53 3.\t Ya\u011f\u0131z, g\u00f6rsel sanatlar dersinde noktal\u0131 ka\u011f\u0131t \u00fczerinde a\u015fa\u011f\u0131da g\u00f6sterilen renkli b\u00f6lgeyi olu\u015fturmu\u015ftur. \u015eekil 2 \u015eekil 1 Buna g\u00f6re Ya\u011f\u0131z \u015eekil 1\u2019de verilen renkli b\u00f6lgeyi olu\u015ftururken, \u015eekil 2\u2019deki do\u011fru par\u00e7as\u0131yla e\u015fit uzunlukta ka\u00e7 tane do\u011fru par\u00e7as\u0131 kullanm\u0131\u015ft\u0131r? A) 6\t B) 7\tC) 8\tD) 9 4.\t A\u015fa\u011f\u0131da herhangi bir saatte g\u00fcne\u015ften yery\u00fcz\u00fcn\u00fcn farkl\u0131 noktalar\u0131na gelen g\u00fcne\u015f \u0131\u015f\u0131nlar\u0131n\u0131n geli\u015f a\u00e7\u0131lar\u0131 verilmi\u015ftir. G 62\u00b0 23\u00b0 15\u00b028\u00b0 B CD A E Buna g\u00f6re olu\u015fan a\u00e7\u0131lardan hangisi dik a\u00e7\u0131d\u0131r? A) AGB a\u00e7\u0131s\u0131\t B) BGC a\u00e7\u0131s\u0131\tC) BGD a\u00e7\u0131s\u0131\tD) EGC a\u00e7\u0131s\u0131 5. S\u0131n\u0131f 221","\u00c7okgenler \u2022 En az \u00fc\u00e7 do\u011fru par\u00e7as\u0131n\u0131n u\u00e7 uca, a\u00e7\u0131 olu\u015fturacak \u015fekilde eklenmesiyle olu\u015fan kapal\u0131 geometrik \u015fekillere \u00e7okgen denir. \u00c7okgenler kenar say\u0131lar\u0131na g\u00f6re \u00fc\u00e7gen, d\u00f6rtgen, be\u015fgen, alt\u0131gen, ..... \u015feklinde isimlendirilir. \u00d6rnek: \u00c7okgendir \u00c7okgen de\u011fildir. \u00c7okgen de\u011fildir. (d\u00f6rtgen) Kapal\u0131 \u015fekil olmal\u0131 B\u00fct\u00fcn kenarlar do\u011frusal olmal\u0131 A \u2022\t \u00c7okgeni olu\u015fturan do\u011fru par\u00e7alar\u0131na kenar, i\u00e7 a\u00e7\u0131 \t kenarlar\u0131n birle\u015fti\u011fi noktalara k\u00f6\u015fe, \t kenarlar\u0131n aras\u0131nda olu\u015fan ve \u00e7okgenin i\u00e7inde kalan a\u00e7\u0131lara i\u00e7 a\u00e7\u0131 denir. kenar \t \u00dc\u00e7genin kenarlar\u0131: [AB], [AC], [BC] B C k\u00f6\u015fe\t \u00dc\u00e7genin k\u00f6\u015feleri: A, B ve C noktalar\u0131 \t \u00dc\u00e7genin i\u00e7 a\u00e7\u0131lar\u0131: A,\uf8ff B\uf8ff ve C\uf8ff \u2022\t \u00c7okgenlerde kom\u015fu olmayan (art arda gelmeyen) iki k\u00f6\u015feyi birle\u015ftiren do\u011fru par\u00e7as\u0131na k\u00f6\u015fegen denir. \u00d6rnek: A B \t\t \t \t ABCDEF alt\u0131geninin k\u00f6\u015fegenleri: FC \t \t [AE], [AD], [AC], [BF], [BE], [BD], [CF], [CE], [DF]\u2019dir. \t\t NOT: \u00c7okgenin temel elemanlar\u0131; kenar, k\u00f6\u015fe, i\u00e7 a\u00e7\u0131 ve k\u00f6\u015fegendir. ED 44 1.\t A\u015fa\u011f\u0131da verilen \u015fekillerden \u00e7okgen olanlar\u0131n alt\u0131ndaki kutucu\u011fa \u201c\ufffd\u201d i\u015fareti koyunuz. a) b) c) \u00e7) d) e) f) g) 222 5. S\u0131n\u0131f","\u00c7okgenler 2.\t A\u015fa\u011f\u0131da verilen \u00e7okgenlerin isimlerini yazarak, 3.\t A\u015fa\u011f\u0131da verilen \u00e7okgenlerin k\u00f6\u015fegenlerini \u00e7iziniz. kenar, k\u00f6\u015fe, i\u00e7 a\u00e7\u0131 say\u0131lar\u0131n\u0131 bulunuz. a) b) a) E Kenar say\u0131s\u0131 = K\u00f6\u015fe say\u0131s\u0131 = \u0130\u00e7 a\u00e7\u0131 say\u0131s\u0131 = DF c) \u00e7) b) J H K Kenar say\u0131s\u0131 = G K\u00f6\u015fe say\u0131s\u0131 = \u0130\u00e7 a\u00e7\u0131 say\u0131s\u0131 = L c) O 4.\t A\u015fa\u011f\u0131da verilen \u015fekillerdeki k\u00f6\u015fe olmayan nok- P N talar\u0131 bulunuz. R M Kenar say\u0131s\u0131 = a) H D S K\u00f6\u015fe say\u0131s\u0131 = F \u0130\u00e7 a\u00e7\u0131 say\u0131s\u0131 = \u00e7) T U J C C V E B Y G B A K Z A Kenar say\u0131s\u0131 = K\u00f6\u015fe say\u0131s\u0131 = \u0130\u00e7 a\u00e7\u0131 say\u0131s\u0131 = d) D b) YAN Kenar say\u0131s\u0131 = G E K\u00f6\u015fe say\u0131s\u0131 = L ZV \u0130\u00e7 a\u00e7\u0131 say\u0131s\u0131 = PR ST F 5. S\u0131n\u0131f 223","\u00c7okgenler 5.\t A\u015fa\u011f\u0131da verilen \u00e7okgenlerle ilgili istenilenleri bu- 7.\t A\u015fa\u011f\u0131daki noktal\u0131 ka\u011f\u0131tta k\u00f6\u015fegenleri verilen lunuz. \u00e7okgenleri \u00e7iziniz, ad\u0131n\u0131 yaz\u0131n\u0131z. a) A B Kenarlar\u0131 \u20ba a) A K\u00f6\u015feleri \u20ba B Ad\u0131 : \u0130\u00e7 a\u00e7\u0131lar\u0131 \u20ba D C K\u00f6\u015fegenleri \u20ba DC b) M Kenarlar\u0131 \u20ba b) E K K\u00f6\u015feleri \u20ba \u0130\u00e7 a\u00e7\u0131lar\u0131 \u20ba F Ad\u0131 : K\u00f6\u015fegenleri \u20ba L c) P G J c) H Kenarlar\u0131 \u20ba K L Y R K\u00f6\u015feleri \u20ba R \u0130\u00e7 a\u00e7\u0131lar\u0131 \u20ba M K\u00f6\u015fegenleri \u20ba TS 6.\t A\u015fa\u011f\u0131da verilen \u015fekille ilgili ifadelerden do\u011fru PN olanlara \u201cD\u201d, yanl\u0131\u015f olanlara \u201cY\u201d yaz\u0131n\u0131z. KL RM Ad\u0131 : G \u00e7) F PN E (........) 6 tane k\u00f6\u015fesi vard\u0131r. A (........) [RM] alt\u0131genin bir kenar\u0131d\u0131r. D (........) RPN\u2211 bir i\u00e7 a\u00e7\u0131d\u0131r. B (........) [LN] alt\u0131genin k\u00f6\u015fegenlerinden biridir. (........) M k\u00f6\u015fesinden 5 tane k\u00f6\u015fegen \u00e7izilebilir. C Ad\u0131 : 224 5. S\u0131n\u0131f","Test \u00c7okgenler Uyguluyorum 54 4.\t A\u015fa\u011f\u0131da bir s\u00fcsleme \u00f6rne\u011fi verilmi\u015ftir. 1.\t A\u015fa\u011f\u0131da verilen \u015fekillerden hangisi \u00e7okgen de- \u011fildir? A) B) C) D) Verilen s\u00fcslemede a\u015fa\u011f\u0131daki \u00e7okgenlerden han- gisi yoktur? A) \u00dc\u00e7gen\t B) D\u00f6rtgen C) Alt\u0131gen\tD) Sekizgen 2.\t A\u015fa\u011f\u0131da verilen \u015fekillerden hangisi \u00e7okgendir? 5.\t A\u015fa\u011f\u0131da verilen \u015fekil [AE] k\u00f6\u015fegeni boyunca kesi- A) B) liyor. B C) D) AC JD 3.\t \t A HE GF Buna g\u00f6re hangi \u00e7okgenler elde edilir? B A) D\u00f6rtgen ile be\u015fgen\t B) D\u00f6rtgen ile alt\u0131gen C) Be\u015fgen ile alt\u0131gen\tD) Alt\u0131gen ile yedigen DC 6.\t \u00c7okgenler ile ilgili a\u015fa\u011f\u0131daki ifadelerden hangisi Verilen \u00e7okgenle ilgili a\u015fa\u011f\u0131daki ifadelerden han- do\u011frudur? gisi yanl\u0131\u015ft\u0131r? A)\tEn az 2 kenar\u0131 vard\u0131r. A)\tABCD bir d\u00f6rtgendir. B)\t\u00dc\u00e7genin 3 tane k\u00f6\u015fegeni vard\u0131r. B)\t4 tane k\u00f6\u015fegeni vard\u0131r. C)\tBir d\u00f6rtgenin i\u00e7 a\u00e7\u0131 say\u0131s\u0131 4\u2019t\u00fcr. C)\tK\u00f6\u015fe say\u0131s\u0131 ile kenar say\u0131s\u0131 e\u015fittir. D)\tK\u00f6\u015fegen \u00e7izilirken kom\u015fu olan iki k\u00f6\u015fe birle\u015ftirilir. D)\t\u0130\u00e7 a\u00e7\u0131lar\u0131ndan birisi AB\u2211C\u2019dir. 5. S\u0131n\u0131f 225","Uyguluyorum \u00c7okgenler Test 54 7.\t \t 10.\t A\u015fa\u011f\u0131da verilen \u00e7okgenlerden hangisinin i\u00e7 a\u00e7\u0131 say\u0131s\u0131 di\u011ferlerinden azd\u0131r? A) Be\u015fgen\t B) D\u00f6rtgen C) Sekizgen\tD) \u00dc\u00e7gen Yukar\u0131da k\u00f6\u015fegenleri \u00e7izilen \u00e7okgen a\u015fa\u011f\u0131daki- lerden hangisidir? A) \u00dc\u00e7gen\t B) D\u00f6rtgen C) Be\u015fgen\tD) Alt\u0131gen 11.\t Yedigenin kenar say\u0131s\u0131 \ufffd, k\u00f6\u015fe say\u0131s\u0131 \ufffd, i\u00e7 a\u00e7\u0131 say\u0131s\u0131 \ufffd oldu\u011funa g\u00f6re, \ufffd + \ufffd + \ufffd i\u015fleminin so- nucu ka\u00e7t\u0131r? 8.\t \t A) 21\t B) 14\tC) 9\tD) 7 A EB DC 12.\t A\u015fa\u011f\u0131dakilerden hangisi KLMN olarak isimlendi- rilen d\u00f6rtgenin bir k\u00f6\u015fegenidir? A\u015fa\u011f\u0131daki do\u011fru par\u00e7alar\u0131ndan hangisi \u00e7okgenin k\u00f6\u015fegeni de\u011fildir? A) [KL]\t B) [LM]\tC) [MN]\tD) [LN] A) [BE]\t B) [AB]\tC) [DB]\tD) [EC] 9.\t Kareli ka\u011f\u0131t \u00fczerinde verilen d\u00f6rt nokta bir \u00e7okgen 13.\t A\u015fa\u011f\u0131daki \u015fekilde verilen \u00fc\u00e7genden bir \u00e7okgen kesi- olu\u015fturacak \u015fekilde birle\u015ftiriliyor. lerek \u00e7\u0131kar\u0131lm\u0131\u015ft\u0131r. L K NM Buna g\u00f6re \u00e7\u0131kar\u0131lan \u00e7okgen a\u015fa\u011f\u0131dakilerden han- gisidir? Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi bu \u00e7okgenin i\u00e7 a\u00e7\u0131lar\u0131ndan biri de\u011fildir? A) Alt\u0131gen\t B) Be\u015fgen A) KN\u2211M\t B) LMN\u2211 \tC) MK\u2211L\tD) NK\u2211L C) D\u00f6rtgen\tD) \u00dc\u00e7gen 226 5. S\u0131n\u0131f","\u00dc\u00e7gen \u00c7e\u015fitleri Ayn\u0131 do\u011fru \u00fczerinde olmayan \u00fc\u00e7 noktan\u0131n iki\u015ferli birle\u015fmesi ile olu\u015fan \u00e7okgene \u00fc\u00e7gen denir. A ABC \u00fc\u00e7geni sembolle AB\u2211C \u015feklinde g\u00f6sterilir. BC \u00dc\u00e7geni a\u00e7\u0131lar\u0131na ve kenarlar\u0131na g\u00f6re s\u0131n\u0131fland\u0131rabiliriz. A\u00e7\u0131lar\u0131na G\u00f6re \u00dc\u00e7genler Dar A\u00e7\u0131l\u0131 \u00dc\u00e7gen: B\u00fct\u00fcn i\u00e7 a\u00e7\u0131lar\u0131 Dik A\u00e7\u0131l\u0131 \u00dc\u00e7gen: Bir i\u00e7 a\u00e7\u0131s\u0131 90\u00b0 Geni\u015f A\u00e7\u0131l\u0131 \u00dc\u00e7gen: Bir i\u00e7 a\u00e7\u0131s\u0131 ge- ni\u015f a\u00e7\u0131 olan \u00fc\u00e7genlerdir. dar a\u00e7\u0131 olan \u00fc\u00e7genlerdir. olan \u00fc\u00e7genlerdir. \u00d6rnek: \u00d6rnek: \u00d6rnek: A K P 62\u00b0 75\u00b0 120\u00b0 45\u00b0 L 15\u00b0 M R 15\u00b0 S 58\u00b0 60\u00b0 B C Kenarlar\u0131na G\u00f6re \u00dc\u00e7genler \u0130kizkenar \u00dc\u00e7gen: \u0130ki kenar\u0131n\u0131n E\u015fkenar \u00dc\u00e7gen: \u00dc\u00e7 kenar\u0131n\u0131n \u00c7e\u015fitkenar \u00dc\u00e7gen: \u00dc\u00e7 kenar\u0131n\u0131n uzunlu\u011fu birbirine e\u015fit olan \u00fc\u00e7gen- uzunlu\u011fu birbirine e\u015fit olan \u00fc\u00e7gen- uzunlu\u011fu birbirinden farkl\u0131 olan \u00fc\u00e7- lerdir. lerdir. genlerdir. \u00d6rnek: \u00d6rnek: \u00d6rnek: D T G 5 cm 7 cm 5 cm 5 cm 8 cm 8 cm F 8 cm E H J V 5 cm Y 6 cm 45 1.\t A\u015fa\u011f\u0131da verilen \u00fc\u00e7genlerin a\u00e7\u0131lar\u0131na g\u00f6re \u00e7e\u015fitlerini belirleyiniz. a) b) c) \u00e7) 57\u00b0 65\u00b0 34\u00b0 25\u00b0 48\u00b0 75\u00b0 73\u00b0 42\u00b0 56\u00b0 127\u00b0 28\u00b0 d) e) f) g) 57\u00b0 11\u00b0 79\u00b0 42\u00b0 47\u00b0 39\u00b0 227 43\u00b0 35\u00b0 103\u00b0 84\u00b0 5. S\u0131n\u0131f","\u00dc\u00e7gen \u00c7e\u015fitleri 2.\t A\u015fa\u011f\u0131da verilen \u00fc\u00e7genlerin kenarlar\u0131na g\u00f6re \u00e7e\u015fitlerini belirleyiniz. a) 8 cm b) 11 cm c) 6 cm \u00e7) 4 cm 5 cm 6 cm 10 cm 10 cm 10 cm 7 cm 5 cm 10 cm d) e) 9 cm f) g) 4 cm 12 cm 9 cm 13 cm 15 cm 6 cm 9 cm 9 cm 4 cm 14 cm 15 cm 3.\t A\u015fa\u011f\u0131da verilen \u00fc\u00e7genlerin kenarlar\u0131na veya a\u00e7\u0131- 4.\t A\u015fa\u011f\u0131daki izometrik ka\u011f\u0131tta verilen \u00fc\u00e7genlerin lar\u0131na g\u00f6re \u00e7e\u015fidini bulunuz. kenarlar\u0131na ve a\u00e7\u0131lar\u0131na g\u00f6re \u00e7e\u015fidini belirleyiniz. a)\t 7 cm, 9 cm, 4 cm \u20ba .......................................... a) b) b)\t 105\u00b0, 38\u00b0, 37\u00b0 \u20ba ............................................... c)\t 48\u00b0 17\u00b0, 115\u00b0 \u20ba ................................................. c) \u00e7) \u00e7)\t 8 cm, 8 cm, 8 cm \u20ba .......................................... d)\t 74\u00b0, 51\u00b0, 55\u00b0 \u20ba ................................................. e)\t 10 cm, 7 cm, 10 cm \u20ba ....................................... f)\t 18\u00b0, 90\u00b0, 72\u00b0 \u20ba ................................................. NOT: E\u015fkenar \u00fc\u00e7gen ayn\u0131 zamanda dar a\u00e7\u0131l\u0131 \u00fc\u00e7gendir. B\u00fct\u00fcn i\u00e7 a\u00e7\u0131lar\u0131 60\u00b0\u2019dir. \u00d6rnek: A 7 cm 60\u00b0 7 cm d) e) f) g) B 60\u00b0 60\u00b0 C 7 cm \u00c7e\u015fitkenar \u00fc\u00e7gen ve ikizkenar \u00fc\u00e7genler dar a\u00e7\u0131l\u0131, dik a\u00e7\u0131l\u0131 ve geni\u015f a\u00e7\u0131l\u0131 olabilir. \u00d6rnek: 3 cm 5 cm 57\u00b0 8 cm 3 cm 105\u00b0 4 cm 7 cm 48\u00b0 27\u00b0 4 cm 64\u00b0 59\u00b0 6 cm 6 cm 6 cm 5 cm 32\u00b0 5 cm 10 cm 120\u00b0 10 cm 6 cm 74\u00b0 74\u00b0 30\u00b0 30\u00b0 3 cm 6 cm 228 5. S\u0131n\u0131f","Test \u00dc\u00e7gen \u00c7e\u015fitleri Uyguluyorum 55 1.\t A\u015fa\u011f\u0131daki \u00fc\u00e7genlerden hangisi dar a\u00e7\u0131l\u0131 \u00fc\u00e7gen- 4.\t A\u015fa\u011f\u0131da verilen \u00fc\u00e7genlerden hangisi ikizkenar \u00fc\u00e7gendir? dir? A) B) A) A B) D 82\u00b0 49\u00b0 46\u00b0 52\u00b0 101\u00b0 30\u00b0 B C E F C) G D) K 130\u00b0 32\u00b0 L 21\u00b0 29\u00b0 M C) D) 58\u00b0 HJ 2.\t A\u015fa\u011f\u0131daki \u00fc\u00e7genlerden hangisi \u00e7e\u015fitkenar \u00fc\u00e7- gendir? A) A B) D 6 cm 6 cm 3 cm 3 cm E 5 cm F 5.\t A\u015fa\u011f\u0131daki \u00fc\u00e7genlerden hangisi \u00e7izilemez? C B 6 cm A)\tDar a\u00e7\u0131l\u0131 ikizkenar \u00fc\u00e7gen D) B)\tDik a\u00e7\u0131l\u0131 e\u015fkenar \u00fc\u00e7gen C) C)\tGeni\u015f a\u00e7\u0131l\u0131 \u00e7e\u015fitkenar \u00fc\u00e7gen D)\tDar a\u00e7\u0131l\u0131 \u00e7e\u015fitkenar \u00fc\u00e7gen 5 cm 6 cm 3 cm 8 cm 4 cm 6 cm 3.\t A\u015fa\u011f\u0131daki \u00fc\u00e7genlerden hangisi geni\u015f a\u00e7\u0131l\u0131 ikizke- 6.\t K L nar \u00fc\u00e7gendir? A) B) A B CD C) D) Yukar\u0131da verilen [KL]\u2019n\u0131n u\u00e7 noktalar\u0131 a\u015fa\u011f\u0131daki noktalardan hangisi ile birle\u015firse dar a\u00e7\u0131l\u0131 bir \u00fc\u00e7- gen olu\u015fur? A) D\t B) C\tC) B\tD) A 5. S\u0131n\u0131f 229","Uyguluyorum \u00dc\u00e7gen \u00c7e\u015fitleri Test 10.\t 55 7.\t \t A B DF I III CE IV II Yukar\u0131da kareli zeminde verilen noktalardan han- Yukar\u0131daki \u00fc\u00e7genlerden hangisinin kenarlar\u0131na gileri iki\u015ferli birle\u015fti\u011finde elde edilen \u00fc\u00e7gen ikiz- g\u00f6re \u00e7e\u015fidi di\u011ferlerinden farkl\u0131d\u0131r? kenar \u00fc\u00e7gen olamaz? A) I\t B) II\tC) III\tD) IV A) A, B, D\t B) C, D, E C) D, E, F\tD) B, D, F 8.\t \t A 60\u00b0 3 cm 8 cm 11.\t Bir dar a\u00e7\u0131l\u0131 \u00fc\u00e7genin a\u00e7\u0131lar\u0131ndan birisi a\u015fa\u011f\u0131daki- D lerden hangisi olabilir? 50\u00b0 5 cm A) 123\t B) 91\tC) 90\tD) 64 80\u00b0 40\u00b0 B EC Yukar\u0131daki \u015fekilde verilenlere g\u00f6re a\u015fa\u011f\u0131dakiler- den hangisi yanl\u0131\u015ft\u0131r? A)\tAB\u2206C bir dar a\u00e7\u0131l\u0131 \u00fc\u00e7gendir. 12.\t \t\t A B)\tAB\u2206C bir ikizkenar \u00fc\u00e7gendir. C)\tDEC\u2206 bir e\u015fkenar \u00fc\u00e7gendir. D)\tDEC\u2206 bir dik \u00fc\u00e7gendir. 10 cm 9.\t Bir karenin k\u00f6\u015fegenlerinden sadece biri \u00e7izildi- B 7 cm C \u011finde olu\u015fan \u00fc\u00e7genlerden her birinin \u00e7e\u015fidi a\u015fa- \u011f\u0131dakilerden hangisidir? Yukar\u0131da verilen AB\u2206C bir ikizkenar \u00fc\u00e7gendir. A)\tE\u015fkenar \u00fc\u00e7gen Buna g\u00f6re bu \u00fc\u00e7genin \u00e7evre uzunlu\u011fu a\u015fa\u011f\u0131daki- B)\tGeni\u015f a\u00e7\u0131l\u0131 ikizkenar \u00fc\u00e7gen lerden hangisi olabilir? C)\tDar a\u00e7\u0131l\u0131 \u00e7e\u015fitkenar \u00fc\u00e7gen D)\tDik a\u00e7\u0131l\u0131 ikizkenar \u00fc\u00e7gen A) 17\t B) 24\tC) 30\tD) 36 230 5. S\u0131n\u0131f","D\u00f6rtgenler Dikd\u00f6rtgen: B A Kar\u015f\u0131l\u0131kl\u0131 kenar uzunluklar\u0131 e\u015fittir. |AB| = |DC| , |AD| = |BC| Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 paraleldir. [AB] \/\/ [CD] , [AD] \/\/ [BC] D B\u00fct\u00fcn a\u00e7\u0131lar\u0131 dik a\u00e7\u0131d\u0131r. m(A)\uf8ff = m(B)\uf8ff = m(C\uf8ff) = m(D\uf8ff) = 90\u00b0 A C E D B K\u00f6\u015fegenlerin uzunluklar\u0131 birbirine e\u015fittir. |AC| = |BD| K\u00f6\u015fegenler birbirini ortalar. |AE| = |CE| = |BE| = |DE| C Kare: H J B\u00fct\u00fcn kenar uzunluklar\u0131 e\u015fittir. |FG| = |GH| = |HJ| = |FJ| Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 paraleldir. |HJ| \/\/ [FG] , [FJ] \/\/ [GH] F B\u00fct\u00fcn a\u00e7\u0131lar\u0131 dik a\u00e7\u0131d\u0131r. m(F)\uf8ff = m(G\uf8ff) = m(H)\uf8ff = m(J\uf8ff) = 90\u00b0 J G K F H K\u00f6\u015fegenlerin uzunluklar\u0131 birbirine e\u015fittir. |FH| = |GJ| K\u00f6\u015fegenler birbirini ortalar. |JK| = |GK| = |FK| = |HK| K\u00f6\u015fegenler birbirine diktir. [GJ] ~ [FH] G K\u00f6\u015fegenler i\u00e7 a\u00e7\u0131lar\u0131 iki e\u015f par\u00e7aya ay\u0131r\u0131r. NOT: Karenin \u00f6zelliklerine bak\u0131ld\u0131\u011f\u0131nda karenin, dikd\u00f6rtgenin \u00f6zel bir durumu oldu\u011fu g\u00f6r\u00fcl\u00fcr. Paralelkenar: M Kar\u015f\u0131l\u0131kl\u0131 kenar uzunluklar\u0131 e\u015fittir. |MN| = |KL| , |KN| = |LM| N Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 paraleldir. [MN] \/\/ [KL] , [KN] \/\/ [LM] K Kar\u015f\u0131l\u0131kl\u0131 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fcleri birbirine e\u015fittir. m(K\uf8ff) = m(M\uf8ff), m(L)\uf8ff = m(N)\uf8ff L NM O K\u00f6\u015fegenler birbirini ortalar. [OK] = [OM] , [OL] = [ON] KL 5. S\u0131n\u0131f 231","D\u00f6rtgenler E\u015fkenar D\u00f6rtgen: B\u00fct\u00fcn kenar uzunluklar\u0131 e\u015fittir. |PR| = |RS| = |ST| = |PT| Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 paraleldir. [PR] \/\/ [ST] , [PT] \/\/ [RS] PR Kar\u015f\u0131l\u0131kl\u0131 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fcleri birbirine e\u015fittir. m(P)\uf8ff = m(S)\uf8ff , m(R)\uf8ff = m(T)\uf8ff T S K\u00f6\u015fegenler birbirini ortalar. |PY| = |SY| , |TY| = |RY| P R K\u00f6\u015fegenler birbirine diktir. [PS] ~ [RT] K\u00f6\u015fegenler i\u00e7 a\u00e7\u0131lar\u0131 iki e\u015f par\u00e7aya ay\u0131r\u0131r. Y TS Yamuk: B A Kenar \u00e7iftlerinden en az biri paraleldir. [AB] \/\/ [CD] DC 46 1.\t A\u015fa\u011f\u0131da izometrik ka\u011f\u0131tta verilen d\u00f6rtgenlerin \u00e7e\u015fidini belirleyiniz. a) b) c) \u00e7) d) e) f) g) \u011f) h) \u0131) i) 232 5. S\u0131n\u0131f","D\u00f6rtgenler 2.\t A\u015fa\u011f\u0131daki tabloda d\u00f6rtgenlerle ilgili do\u011fru olan \u00f6zelliklere \u201c\ufffd\u201d i\u015fareti koyunuz. \u00d6zellikler Dikd\u00f6rtgen Kare Paralelkenar E\u015fkenar Yamuk D\u00f6rtgen a)\t Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131ndan en az biri paraleldir. b)\t Kar\u015f\u0131l\u0131kl\u0131 kenar uzunluklar\u0131 e\u015fittir. c)\t B\u00fct\u00fcn kenar uzunluklar\u0131 e\u015fittir. \u00e7)\t Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 birbirine paraleldir. d)\t Kar\u015f\u0131l\u0131kl\u0131 a\u00e7\u0131lar\u0131n \u00f6l\u00e7\u00fcleri birbirine e\u015fittir. e)\t B\u00fct\u00fcn a\u00e7\u0131lar\u0131 birbirine e\u015fittir. f)\t K\u00f6\u015fegen uzunluklar\u0131 birbiri- ne e\u015fittir. g)\t K\u00f6\u015fegenler birbirini ortalar. \u011f)\t K\u00f6\u015fegenler birbirine diktir. h)\t K\u00f6\u015fegenler i\u00e7 a\u00e7\u0131lar\u0131 iki e\u015f par\u00e7aya ay\u0131r\u0131r. 3.\t A\u015fa\u011f\u0131da kareli zeminde verilen \u015fekilleri tamamlayarak, istenilen d\u00f6rtgenleri olu\u015fturunuz. a) Kare b) Dikd\u00f6rtgen c) Paralelkenar \u00e7) E\u015fkenar D\u00f6rtgen d) Yamuk e) Paralelkenar 5. S\u0131n\u0131f 233","Uyguluyorum D\u00f6rtgenler Test 5.\t \t 56 1.\t A\u015fa\u011f\u0131daki ifadelerden hangisi yanl\u0131\u015ft\u0131r? A)\tParalelkenar\u0131n kar\u015f\u0131l\u0131kl\u0131 a\u00e7\u0131lar\u0131 e\u015fittir. A B CD B)\tE\u015fkenar d\u00f6rtgenin t\u00fcm a\u00e7\u0131lar\u0131 90\u00b0\u2019dir. C)\tDikd\u00f6rtgende k\u00f6\u015fegenler birbirini ortalar. D)\tKarenin t\u00fcm kenarlar\u0131 e\u015fittir. Yukar\u0131da verilen \u015feklin dikd\u00f6rtgen olmas\u0131 i\u00e7in di- \u011fer k\u00f6\u015fesi hangi nokta olmal\u0131d\u0131r? A) A\t B) B\tC) C\tD) D 2.\t I.\t Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 paraleldir. 6.\t I.\t Kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 birbirine e\u015fittir. \t II.\t K\u00f6\u015fegen uzunluklar\u0131 e\u015fittir. \t II.\t K\u00f6\u015fegenleri birbirini dik ortalar. \t III.\tK\u00f6\u015fegenler birbirini dik ortalar. \t III.\tA\u00e7\u0131lar\u0131 dik a\u00e7\u0131d\u0131r. Yukar\u0131da \u00f6zellikleri verilen d\u00f6rtgen a\u015fa\u011f\u0131dakiler- den hangisi olabilir? \t IV.\tKar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 paraleldir. A) E\u015fkenar d\u00f6rtgen\t B) Kare C) Paralelkenar\tD) Yamuk Yukar\u0131daki \u00f6zelliklerden ka\u00e7 tanesi paralelkena- r\u0131n \u00f6zelliklerindendir? A) 1\t B) 2\tC) 3\tD) 4 3.\t Paralelkenar ile ilgili a\u015fa\u011f\u0131daki ifadelerden han- 7.\t A\u015fa\u011f\u0131da verilen \u00e7okgenlerden hangisinin a\u00e7\u0131la- gisi yanl\u0131\u015ft\u0131r? r\u0131ndan birinin \u00f6l\u00e7\u00fcs\u00fc 90\u00b0\u2019den b\u00fcy\u00fck olamaz? A)\tKar\u015f\u0131l\u0131kl\u0131 a\u00e7\u0131lar\u0131 e\u015fittir. A) Kare\t B) E\u015fkenar d\u00f6rtgen B)\tKar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 e\u015fittir. C)\tK\u00f6\u015fegenler birbirini ortalar. C) Paralelkenar\tD) Yamuk D)\tK\u00f6\u015fegen uzunluklar\u0131 e\u015fittir. 4.\t A\u015fa\u011f\u0131daki d\u00f6rtgenlerden hangisinin b\u00fct\u00fcn a\u00e7\u0131lar\u0131 8.\t A\u015fa\u011f\u0131daki d\u00f6rtgenlerden hangisinde kar\u015f\u0131l\u0131kl\u0131 ke- 90\u00b0\u2019dir? narlar\u0131n uzunluklar\u0131 birbirine e\u015fit de\u011fildir? A) E\u015fkenar d\u00f6rtgen\t B) Yamuk A) E\u015fkenar d\u00f6rtgen\t B) Kare C) Dikd\u00f6rtgen\tD) Paralelkenar C) Yamuk\tD) Paralelkenar 234 5. S\u0131n\u0131f","Test D\u00f6rtgenler Uyguluyorum 56 9.\t A\u015fa\u011f\u0131da uzunluklar\u0131 verilen \u00e7ubuklar u\u00e7 uca eklene- 12.\t \t\t rek \u00e7okgenler elde edilecektir. 3 cm 6 cm 3 cm 6 cm Buna g\u00f6re a\u015fa\u011f\u0131daki \u00e7okgenlerden hangisi olu\u015f- Yukar\u0131da verilen do\u011fru par\u00e7as\u0131 a\u015fa\u011f\u0131daki d\u00f6rt- turulamaz? genlerden hangisinin k\u00f6\u015fegeni olabilir? A) Dikd\u00f6rtgen\t B) Paralelkenar A) B) C) E\u015fkenar \u00fc\u00e7gen\tD) E\u015fkenar d\u00f6rtgen 10.\t II C) D) I III IV Yukar\u0131daki d\u00f6rtgenlerden hangilerinin k\u00f6\u015fegen 13.\t uzunluklar\u0131 e\u015fittir? A) I ve II\t B) I ve III A C G F C) III ve IV\tD) II ve III D B E 11.\t \t Yukar\u0131da verilen noktalardan hangileri birle\u015ftiri- lirse paralelkenar elde edilir? A) A, C, D, F\t B) B, E, F, G C) A, B, E, G\tD) C, D, F, G Yukar\u0131da verilen \u015fekilde a\u015fa\u011f\u0131daki \u00e7okgenlerden hangisi yoktur? A) Kare\t B) Dikd\u00f6rtgen C) Paralelkenar\tD) Yamuk 5. S\u0131n\u0131f 235","\u00dc\u00e7genlerin ve D\u00f6rtgenlerin \u0130\u00e7 A\u00e7\u0131lar\u0131n\u0131n \u00d6l\u00e7\u00fcleri Toplam\u0131 \u2022\t \u00dc\u00e7genlerin i\u00e7 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131 180\u00b0\u2019dir. \tA ABC \u00fc\u00e7geninin k\u00f6\u015felerini [BC] \u00fczerinde bir noktada kesi\u015fecek ( \u015fekilde katlad\u0131\u011f\u0131m\u0131zda bir do\u011fru a\u00e7\u0131 olu\u015ftu\u011funu g\u00f6r\u00fcr\u00fcz. B C Dolay\u0131s\u0131yla m(A)\uf8ff + m(B)\uf8ff + m(C)\uf8ff = 180\u00b0 olur. \u00d6rnek: Verilenlere g\u00f6re m(C\uf8ff) ka\u00e7 derecedir? \u00c7\u00f6z\u00fcm: 70\u00b0 + 52\u00b0 = 122\u00b0 A 180\u00b0 \u2013 122\u00b0 = 58\u00b0 70\u00b0 m(C\uf8ff) = 58\u00b0 olur. B 52\u00b0 ? C \u2022\t D\u00f6rtgenlerin i\u00e7 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131 360\u00b0\u2019dir. \tA D\u00f6rtgeninin a\u00e7\u0131lar\u0131n\u0131 kesikli \u00e7izgiler hizas\u0131ndan keserek k\u00f6\u015feleri B ayn\u0131 olacak ve kenarlar\u0131 \u00e7ak\u0131\u015facak \u015fekilde birle\u015ftirdi\u011fimizde tam a\u00e7\u0131 olu\u015ftu\u011funu g\u00f6r\u00fcr\u00fcz. ( \t D C Dolay\u0131s\u0131yla m(A\uf8ff) + m(B\uf8ff) + m(C\uf8ff) + m(D)\uf8ff = 360\u00b0 olur. \u00d6rnek: B \u00c7\u00f6z\u00fcm: 105\u00b0 + 62\u00b0 + 53\u00b0 = 220\u00b0 62\u00b0 Verilenlere g\u00f6re m(C\uf8ff) ka\u00e7 derecedir? 360\u00b0 \u2013 220\u00b0 = 140\u00b0 A m(C\uf8ff) = 140\u00b0 olur. 105\u00b0 53\u00b0 ? D C 47 2.\t A\u015fa\u011f\u0131da verilen a\u00e7\u0131 \u00f6l\u00e7\u00fclerinin hangileriyle bir d\u00f6rtgen olu\u015fturulabilir? 1.\t A\u015fa\u011f\u0131da verilen a\u00e7\u0131 \u00f6l\u00e7\u00fclerinin hangileriyle bir a)\t \t 84\u00b0, 35\u00b0, 142\u00b0, 99\u00b0 \u00fc\u00e7gen olu\u015fturulabilir? a)\t \t 40\u00b0, 70\u00b0, 70\u00b0 b)\t \t 65\u00b0, 89\u00b0, 145\u00b0, 61\u00b0 b)\t \t 78\u00b0, 73\u00b0, 59\u00b0 c)\t \t 48\u00b0, 99\u00b0, 157\u00b0, 70\u00b0 c)\t \t 85\u00b0, 82\u00b0, 21\u00b0 \u00e7)\t \t 125\u00b0, 103\u00b0, 65\u00b0, 72\u00b0 \u00e7)\t \t 62\u00b0, 14\u00b0, 104\u00b0 d)\t \t 86\u00b0, 129\u00b0, 85\u00b0, 60\u00b0 d)\t \t 22\u00b0, 95\u00b0, 63\u00b0 e)\t \t 94\u00b0, 124\u00b0, 81\u00b0, 61\u00b0 e)\t \t 132\u00b0, 28\u00b0, 30\u00b0 236 5. S\u0131n\u0131f","\u00dc\u00e7genlerin ve D\u00f6rtgenlerin \u0130\u00e7 A\u00e7\u0131lar\u0131n\u0131n \u00d6l\u00e7\u00fcleri Toplam\u0131 3.\t A\u015fa\u011f\u0131daki \u00fc\u00e7genlerde verilmeyen a\u00e7\u0131lar\u0131 bulunuz. d) N m(R)\uf8ff =? a) A 52\u00b0 32\u00b0 ? R 74\u00b0 m(C)\uf8ff =? P B ? C b) D m(E\uf8ff)=? 4.\t Bir \u00fc\u00e7gende iki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131 128\u00b0 oldu- 48\u00b0 24\u00b0 \u011funa g\u00f6re \u00fc\u00e7\u00fcnc\u00fc a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? ? F 5.\t Bir e\u015fkenar \u00fc\u00e7gende her bir a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 E derecedir? c) ?J 6.\t ABC\u2206 bir ikizkenar \u00fc\u00e7gendir. G m(A\uf8ff) = m(B)\uf8ff ve m(C\uf8ff) = 84\u00b0 oldu\u011funa g\u00f6re m(A)\uf8ff 40\u00b0 ka\u00e7 derecedir? m(J\uf8ff)=? 100\u00b0 H \u00e7) K 7.\t Bir GMY \u00fc\u00e7geninde m(M)\uf8ff = 60\u00b0\u2019dir. ? 65\u00b0 G a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc, Y a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcn\u00fcn yar\u0131s\u0131 ol- L m(L\uf8ff)=? du\u011funa g\u00f6re m(Y\uf8ff) ka\u00e7 derecedir? m(M)\uf8ff =? ? M 5. S\u0131n\u0131f 237","\u00dc\u00e7genlerin ve D\u00f6rtgenlerin \u0130\u00e7 A\u00e7\u0131lar\u0131n\u0131n \u00d6l\u00e7\u00fcleri Toplam\u0131 8.\t A\u015fa\u011f\u0131daki d\u00f6rtgenlerde verilmeyen a\u00e7\u0131 \u00f6l\u00e7\u00fclerini d) S bulunuz. ? a) A Z 142\u00b0 ?T 85\u00b0 B ? ? m(B)\uf8ff =? Y 72\u00b0 68\u00b0 STYZ bir e\u015fkenar d\u00f6rtgen oldu\u011funa g\u00f6re; D C m(S)\uf8ff , m(T)\uf8ff , m(Y)\uf8ff ka\u00e7 derecedir? b) D e) A B 52\u00b0 154\u00b0 E G m(F)\uf8ff =? 140\u00b0 ? ? DC F ABCD d\u00f6rtgeni bir yamuktur. Buna g\u00f6re m(C\uf8ff) ka\u00e7 derecedir? c) L f) E F H ? 84\u00b0 m(L\uf8ff)=? 105\u00b0 124\u00b0 JK ? G H EFGH d\u00f6rtgeni bir karedir. Buna g\u00f6re ? olan a\u00e7\u0131 ka\u00e7 derecedir? \u00e7) N g) K M ? ? L 117\u00b0 74\u00b0 ? ? R P 40\u00b0 MNPR bir paralelkenar oldu\u011funa g\u00f6re; N M KLMN d\u00f6rtgeni bir paralelkenard\u0131r. m(M\uf8ff), m(N)\uf8ff ve m(P)\uf8ff ka\u00e7 derecedir? Buna g\u00f6re ? olan a\u00e7\u0131 ka\u00e7 derecedir? 238 5. S\u0131n\u0131f","\u00dc\u00e7genlerin ve D\u00f6rtgenlerin \u0130\u00e7 A\u00e7\u0131lar\u0131n\u0131n \u00d6l\u00e7\u00fcleri Toplam\u0131 9.\t \t A B 12.\t \t\t A B 130\u00b0 ? 26\u00b0 50\u00b0 D C ? C E DE ABCD bir karedir. ABCE bir yamuk ve BCD bir e\u015fkenar \u00fc\u00e7gendir. Buna g\u00f6re ABD a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? Verilenlere g\u00f6re BED a\u00e7\u0131s\u0131n\u0131n (?) \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 de- recedir? 10.\t \t B 13.\t \t\t A B D E 48\u00b0 ? E? 27\u00b0 AC F ABC bir e\u015fkenar \u00fc\u00e7gen ve CDEF bir dikd\u00f6rtgendir. D C ABCD bir karedir. Buna g\u00f6re BCD a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? Verilenlere g\u00f6re BEC a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 dere- cedir? 11.\t \t A E B 136\u00b0 62\u00b0 14.\t \t\t A 44\u00b0 ? ? C DC BD ABCD paralelkenard\u0131r. ABC \u00fc\u00e7geni bir e\u015fkenar \u00fc\u00e7gendir. Verilenlere g\u00f6re BCE a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 dere- cedir? Verilenlere g\u00f6re ADB a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 dere- cedir? 5. S\u0131n\u0131f 239","Uyguluyorum \u00dc\u00e7genlerin ve D\u00f6rtgenlerin \u0130\u00e7 A\u00e7\u0131lar\u0131n\u0131n Test \u00d6l\u00e7\u00fclerinin Toplam\u0131 57 1.\t A\u015fa\u011f\u0131daki ifadelerden hangisi her zaman do\u011fru 4.\t A\u015fa\u011f\u0131da ABC e\u015fkenar \u00fc\u00e7geni verilmi\u015ftir. de\u011fildir? A A)\t\u00dc\u00e7genlerin i\u00e7 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fclerinin toplam\u0131 180\u00b0\u2019dir. 40\u00b0 D B ? B)\tD\u00f6rtgenlerin i\u00e7 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fclerinin toplam\u0131 360\u00b0\u2019dir. C C)\tBir \u00fc\u00e7gende iki a\u00e7\u0131 biliniyorsa \u00fc\u00e7\u00fcnc\u00fc a\u00e7\u0131 buluna- Buna g\u00f6re BDC a\u00e7\u0131s\u0131n\u0131n (?) \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derece- bilir. dir? D)\tBir d\u00f6rtgende iki a\u00e7\u0131 biliniyorsa di\u011fer a\u00e7\u0131lar bulu- nabilir. A) 100\t B) 110\tC) 120\tD) 130 2.\t \t\t A ? 5.\t A\u015fa\u011f\u0131daki ABCD d\u00f6rtgeninde [BD] k\u00f6\u015fegendir. A 60\u00b0 60\u00b0 40\u00b0 70\u00b0 \u00b0 B C B 40\u00b0 50\u00b0 Yukar\u0131daki \u00fc\u00e7gende verilenlere g\u00f6re m(A)\uf8ff ka\u00e7 D derecedir? A) 40\t B) 60\tC) 80\tD) 100 \u00b0 C Buna g\u00f6re \ufffd + \ufffd i\u015fleminin sonucu ka\u00e7t\u0131r? A) 120\t B) 130\tC) 140\tD) 150 3.\t \t B C ? 6.\t A\u015fa\u011f\u0131da ABCD paralelkenar\u0131 verilmi\u015ftir. E A 55\u00b0 ? B AD D EC Yukar\u0131daki \u015fekilde ABCD bir kare ve CDE bir e\u015fke- |AD| = |AE| oldu\u011funa g\u00f6re DAE a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc nar \u00fc\u00e7gendir. ka\u00e7 derecedir? Buna g\u00f6re BCE a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? A) 160\t B) 150\tC) 140\tD) 130 A) 55\t B) 60\tC) 65\tD) 70 240 5. S\u0131n\u0131f","Test \u00dc\u00e7genlerin ve D\u00f6rtgenlerin \u0130\u00e7 A\u00e7\u0131lar\u0131n\u0131n Uyguluyorum 57 \u00d6l\u00e7\u00fclerinin Toplam\u0131 7.\t A\u015fa\u011f\u0131da ABCD yamu\u011fu verilmi\u015ftir. 9.\t A\u015fa\u011f\u0131da DEFG paralelkenar\u0131 verilmi\u015ftir. G BC DH 100\u00b0 60\u00b0 50\u00b0 D 70\u00b0 ? A E F [BC] \/\/ [AD] oldu\u011funa g\u00f6re \ufffd ve \ufffd yerine a\u015fa\u011f\u0131- Verilenlere g\u00f6re EFH a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derece- daki a\u00e7\u0131 \u00f6l\u00e7\u00fclerinden hangisi gelebilir? dir? \ufffd \ufffd A) 80\t B) 70\tC) 60\tD) 50 A) 130\u00b0 80\u00b0 B) 120\u00b0 70\u00b0 C) 120\u00b0 80\u00b0 D) 130\u00b0 70\u00b0 10.\t ABCD bir kare, CDE\u2206 ikizkenar bir \u00fc\u00e7gendir. BC ? 50\u00b0 E AD |BC| = |CE| oldu\u011funa g\u00f6re DCE a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? A) 50\t B) 60\tC) 70\tD) 80 8.\t A\u015fa\u011f\u0131da KLMN karesi verilmi\u015ftir. L M R 150\u00b0 11.\t ABC\u2206 e\u015fkenar \u00fc\u00e7gen ve A BCDE bir karedir. Buna g\u00f6re EAD a\u00e7\u0131s\u0131n\u0131n ? \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? ? A) 30\t B) 35 B C K PN C) 40\tD) 45 Verilenlere g\u00f6re RPN a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 dere- cedir? A) 110\t B) 120\tC) 130\tD) 140 ED 5. S\u0131n\u0131f 241","Ba\u015far\u0131yorum \u00dc\u00e7genler - D\u00f6rtgenler Test 58 1.\t A\u015fa\u011f\u0131da verilen kare \u015feklindeki k\u00e2\u011f\u0131t \u015fekilde g\u00f6sterildi\u011fi gibi her defas\u0131nda belirtilen kenar\u0131n orta noktas\u0131ndan do\u011fru boyunca katlan\u0131yor. \u015eekil 1 \u015eekil 2 \u015eekil 3 \u015eekil 4 Ka\u011f\u0131t \u015eekil 4\u2019teki gibi katland\u0131ktan sonra a\u00e7\u0131larak ilk duruma getiriliyor ve b\u00fct\u00fcn kat izlerinden kesiliyor. Buna g\u00f6re son durumda elde edilen her bir \u015feklin \u00e7e\u015fidi ve say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) 8 tane kare\t B) 8 tane dikd\u00f6rtgen\tC) 16 tane kare\tD) 16 tane dikd\u00f6rtgen 2.\t Tangram, yedi adet geometrik \u015fekille \u00e7e\u015fitli fig\u00fcrler olu\u015fturma esas\u0131na dayanan bir zeka oyunudur. A\u015fa\u011f\u0131da tangram par\u00e7alar\u0131 kullan\u0131larak olu\u015fturulmu\u015f bir ku\u015f g\u00f6rseli verilmi\u015ftir. Buna g\u00f6re verilen \u015fekilde a\u015fa\u011f\u0131daki \u00e7okgenlerden hangisi yoktur? A) \u00dc\u00e7gen\t B) Paralelkenar\tC) Kare\tD) E\u015fkenar d\u00f6rtgen 242 5. S\u0131n\u0131f","Test \u00dc\u00e7genler - D\u00f6rtgenler Ba\u015far\u0131yorum 58 3.\t A\u015fa\u011f\u0131da bir kap\u0131 ve kap\u0131n\u0131n \u00fczerinde demirlerle olu\u015fturulmu\u015f s\u00fcsleme g\u00f6sterilmi\u015ftir. Buna g\u00f6re her biri farkl\u0131 renklerle g\u00f6sterilen demir \u00e7ubuklardan hangisi kap\u0131n\u0131n g\u00f6r\u00fcnen y\u00fcz\u00fcn\u00fcn k\u00f6\u015fegeni boyunca yerle\u015ftirilmi\u015ftir? A) K\u0131rm\u0131z\u0131\t B) Sar\u0131\tC) Turuncu \tD) Ye\u015fil 4.\t A\u015fa\u011f\u0131da verilen kare \u015feklindeki ka\u011f\u0131t kenarlar\u0131n orta noktalar\u0131 boyunca katlan\u0131yor. \u015eekil 1 \u015eekil 2 \u015eekil 3 \u015eekil 3\u2019te g\u00f6sterildi\u011fi gibi kesikli \u00e7izgiler boyunca ka\u011f\u0131t kesiliyor. Buna g\u00f6re ka\u011f\u0131d\u0131n d\u0131\u015f k\u0131sm\u0131nda olu\u015fan \u00e7okgenin kenar say\u0131s\u0131 ile i\u00e7 k\u0131sm\u0131nda olu\u015fan \u00e7okgenin kenar say\u0131- s\u0131n\u0131n fark\u0131 ka\u00e7t\u0131r? A) 2\t B) 4\tC) 6\tD) 8 5. S\u0131n\u0131f 243","Ba\u015far\u0131yorum \u00dc\u00e7genler - D\u00f6rtgenler Test 58 5.\t A\u015fa\u011f\u0131da g\u00f6sterilen mavi renkli \u00fc\u00e7genlerin hepsi kendi i\u00e7inde \u00f6zde\u015f e\u015fkenar \u00fc\u00e7gen iken sar\u0131 renkli \u00fc\u00e7genlerin hepsi kendi i\u00e7inde \u00f6zde\u015f ikizkenar \u00fc\u00e7gendir ve e\u015fit uzunlukta olan kenarlar k\u0131rm\u0131z\u0131 \u00e7izgi ile g\u00f6sterilmi\u015ftir. Bu \u00fc\u00e7genler \u00f6nce \u015eekil 1\u2019deki gibi sonra da \u015eekil 2\u2019deki gibi kenarlar\u0131 \u00e7ak\u0131\u015facak ve \u00fcst \u00fcste gelmeyecek \u015fekilde birle\u015ftiriliyor. BC ? A \u015eekil 2 \u015eekil 1 Buna g\u00f6re \u015eekil 2\u2019deki ABC a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? A) 130\t B) 125\tC) 120\tD) 115 6.\t A\u015fa\u011f\u0131da birbirine e\u015f iki \u00e7ubuk verilmi\u015ftir. Bu \u00e7ubuklar \u015fekilde g\u00f6sterildi\u011fi gibi e\u015f par\u00e7alara ayr\u0131l\u0131yor ve bu par\u00e7alar\u0131n tamam\u0131 kullan\u0131larak \u00e7e\u015fitli d\u00f6rtgenler olu\u015fturuluyor. Buna g\u00f6re a\u015fa\u011f\u0131daki d\u00f6rtgenlerden hangisi olu\u015fturulamaz? A) Paralelkenar\t B) Yamuk\tC) E\u015fkenar d\u00f6rtgen\tD) Dikd\u00f6rtgen 244 5. S\u0131n\u0131f","VER\u0130 \u0130\u015eLEME 5 \u00dcN\u0130TE Veri Toplama ve De\u011ferlendirme Uzunluk ve Zaman \u00d6l\u00e7me Kazan\u0131mlar; Veri toplamay\u0131 gerektiren ara\u015ft\u0131rma sorular\u0131 olu\u015fturur. M.5.3.1.1 Ara\u015ft\u0131rma sorular\u0131na ili\u015fkin verileri toplar, s\u0131kl\u0131k tablosu M.5.3.1.2 ve s\u00fctun graf\u011fiyle g\u00f6sterir. S\u0131kl\u0131k tablosu veya s\u00fctun gra\ufb01\u011fi ile g\u00f6sterilmi\u015f verileri M.5.3.1.3 yorumlamaya y\u00f6nelik problemleri \u00e7\u00f6zer. Uzunluk \u00f6l\u00e7me birimlerini tan\u0131r; metre-kilometre, M.5.2.3.1 metre-desimetre-santimetre-milimetre birimlerini birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr ve ilgili problemleri \u00e7\u00f6zer. \u00dc\u00e7gen ve d\u00f6rtgenlerin \u00e7evre uzunluklar\u0131n\u0131 hesaplar, M.5.2.3.2 verilen bir \u00e7evre uzunlu\u011funa sahip farkl\u0131 \u015fekiller olu\u015fturur. Zaman \u00f6l\u00e7\u00fc birimlerini tan\u0131r, birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr ve ilgili M.5.2.3.3 problemleri \u00e7\u00f6zer. 5. SINIF","\u00dcN\u0130TE NOTLANDIRMA \u00dcN\u0130TE \u00d6NCEL\u0130KLER\u0130M \u00dcN\u0130TEDEK\u0130 MOOD NOTLARIM F\u0130K\u0130RLER\u0130M FORM\u00dcLLER","Veri \u0130\u015fleme \u2022 \tBir gruptan veri toplamay\u0131 gerektiren sorulara ara\u015ft\u0131rma sorusu denir. \t Ara\u015ft\u0131rmalarda bir amaca y\u00f6nelik toplanan bilgiye veri denir. \t Ara\u015ft\u0131rma sorusunun \u00f6zellikleri \u2020\t \u2022 Soru birden fazla ki\u015fiye sorulabilmeli. \t \t \t \t \t \t \u2022 Sorunun cevab\u0131 birden fazla olabilmeli. \u00d6rnek: \u201cS\u0131n\u0131f\u0131m\u0131zdaki \u00f6\u011frencilerin en sevdi\u011fi dersler hangileridir?\u201d Bu soru bir ara\u015ft\u0131rma sorusudur. Soru t\u00fcm s\u0131n\u0131fa sorulur ve birden fazla veri toplanabilir. \t\t \t \u201cAy\u015fe\u2019nin en sevdi\u011fi mevsim hangisidir?\u201d Bu soru bir ara\u015ft\u0131rma sorusu de\u011fildir. Soruyu sadece Ay\u015fe\u2019ye sormak yeterlidir ve bir veri ile cevaplan\u0131r. \u2022 Ara\u015ft\u0131rma sorusu olu\u015fturulurken sorunun hangi gruba sorulaca\u011f\u0131 a\u00e7\u0131k\u00e7a belirtilmelidir. Soru, ara\u015ft\u0131rma ile ilgisi olan gruba y\u00f6neltilmelidir. \u00d6rnek: \u201c0\u20136 ayl\u0131k bebeklerdeki uyku d\u00fczeni nas\u0131ld\u0131r?\u201d Bu soruyu 0\u20136 ayl\u0131k bebe\u011fi olan ebeveynlere sormak daha uygun olacakt\u0131r. 48 d)\t \t S\u0131n\u0131f\u0131m\u0131zdaki \u00f6\u011frencilerin izlemeyi tercih etti\u011fi film t\u00fcr\u00fc hangisidir. 1.\t A\u015fa\u011f\u0131da verilen sorulardan ara\u015ft\u0131rma sorusu olanlara \u201c\ufffd\u201d i\u015fareti koyunuz. Ara\u015ft\u0131rma sorusu \t Nedeni: olmayanlar\u0131n nedenini alt\u0131ndaki bo\u015flu\u011fa yaz\u0131n\u0131z. a)\t \t Bir y\u0131lda ka\u00e7 mevsim vard\u0131r? \t Nedeni: b)\t \t Okulunuzdaki \u00f6\u011frencilerin en \u00e7ok seyahat e)\t \t Okulmuzda ka\u00e7 \u00f6\u011fretmen vard\u0131r? etmek istedi\u011fi \u00fclke neresidir? \t Nedeni: \t Nedeni: c)\t \t \u00dclkemizdeki ekmek israf\u0131n\u0131 \u00f6nlemenin yol- f)\t \t Okul kantininde sat\u0131lmas\u0131ndan rahats\u0131z ol- lar\u0131 nelerdir? du\u011funuz \u00fcr\u00fcn hangisidir? \t Nedeni: \t Nedeni: \u00e7)\t \t Ya\u011f\u0131z\u2019\u0131n en sevdi\u011fi ders hangisidir? g)\t \t Atat\u00fcrk Ortaokulu\u2019ndaki \u00f6\u011frenciler g\u00fcnde \t Nedeni: ka\u00e7 dakika kitap okuyorlar? \t Nedeni: 5. S\u0131n\u0131f 247","Veri \u0130\u015fleme \u011f)\t \t T\u00fcrkiye\u2019nin s\u0131n\u0131r kom\u015fusu olan \u00fclke say\u0131s\u0131 2.\t A\u015fa\u011f\u0131da verilen konularla ilgili ara\u015ft\u0131rma sorusu ka\u00e7t\u0131r? olu\u015fturunuz. \t Nedeni: \t a)\t S\u0131n\u0131f\u0131n\u0131zdaki arkada\u015flar\u0131n\u0131z\u0131n okumay\u0131 tercih etti- \u011fi kitap t\u00fcr\u00fcn\u00fc belirlemek i\u00e7in \t\t Ara\u015ft\u0131rma Sorusu: h)\t \t Bir say\u0131n\u0131n b\u00f6l\u00fc\u011f\u00fcnde en fazla ka\u00e7 tane ra- kam bulunabilir? \t Nedeni: \u0131)\t \t Cumhuriyet Ortaokulu\u2019ndaki \u00f6\u011frenciler en \t b)\t 5. s\u0131n\u0131fta okuyan \u00f6\u011frencilerin en sevdi\u011fi futbol ta- \u00e7ok hangi dersi sevmektedir? k\u0131m\u0131n\u0131 belirlemek i\u00e7in \t Nedeni: \t\t Ara\u015ft\u0131rma Sorusu: i)\t \t T\u00fcrk\u00e7e \u00f6\u011fretmeniniz ka\u00e7 ya\u015f\u0131ndad\u0131r? \t c)\t Geri d\u00f6n\u00fc\u015f\u00fcm\u00fcn \u00f6nemini belirlemek i\u00e7in \t Nedeni: \t\t Ara\u015ft\u0131rma Sorusu: j)\t \t Uluda\u011f\u2019\u0131n y\u00fcksekli\u011fi ka\u00e7 metredir? \t Nedeni: \t \u00e7)\t Okul formas\u0131n\u0131n renklerini belirlemek i\u00e7in \t\t Ara\u015ft\u0131rma Sorusu: k)\t \t Okulunuzda y\u0131l sonu yap\u0131lmas\u0131n\u0131 istedi\u011fi- niz sosyal etkinlikler nelerdir? \t Nedeni: l)\t \t S\u0131n\u0131f\u0131n\u0131zdaki \u00f6\u011frencilerin en sevdi\u011fi don- \t d)\t 23 Nisan Ortaokulu\u2019ndaki \u00f6\u011frencilerin sahip oldu- durma \u00e7e\u015fidi hangisidir? \u011fu evcil hayvan t\u00fcr\u00fcn\u00fc belirlemek i\u00e7in \t Nedeni: \t\t Ara\u015ft\u0131rma Sorusu: 248 5. S\u0131n\u0131f","Test Veri \u0130\u015fleme Uyguluyorum 59 4.\t Aylin, arkada\u015flar\u0131n\u0131n ders \u00e7al\u0131\u015f\u0131rken en \u00e7ok kullan- 1.\t A\u015fa\u011f\u0131dakilerden hangisi bir ara\u015ft\u0131rma sorusu- d\u0131klar\u0131 y\u00f6ntemi belirlemek amac\u0131yla bir ara\u015ft\u0131rma ya- dur? pacakt\u0131r. A)\tA\u011fr\u0131 Da\u011f\u0131\u2019n\u0131n y\u00fcksekli\u011fi ka\u00e7 metredir? Bu amaca y\u00f6nelik en uygun ara\u015ft\u0131rma sorusu B)\tOkul m\u00fcd\u00fcr\u00fcn\u00fcn arac\u0131n\u0131n markas\u0131 nedir? a\u015fa\u011f\u0131dakilerden hangisi olabilir? C)\tOkulunuzdaki \u00f6\u011frenciler israf\u0131 \u00f6nlemek i\u00e7in neler A)\tS\u0131n\u0131f\u0131m\u0131zdaki \u00f6\u011frenciler \u00f6devini hangi saatlerde yapmaktad\u0131r? yapmaktad\u0131r? D)\tHakan\u2019\u0131n en sevdi\u011fi arkada\u015f\u0131 kimdir? B)\tS\u0131n\u0131f\u0131m\u0131zdaki \u00f6\u011frenciler ders \u00e7al\u0131\u015f\u0131rken en \u00e7ok hangi y\u00f6ntemi kullanmaktad\u0131r? C)\tS\u0131n\u0131f\u0131m\u0131zdaki \u00f6\u011frenciler g\u00fcnde ka\u00e7 saat internet kullanmaktad\u0131r? D)\tS\u0131n\u0131f\u0131m\u0131zdaki \u00f6\u011frenciler ders \u00e7al\u0131\u015f\u0131rken en \u00e7ok hangi ara\u00e7 gereci kullanmaktad\u0131r? 2.\t A\u015fa\u011f\u0131dakilerden hangisi ara\u015ft\u0131rma sorusu de\u011fil- 5.\t Bir ila\u00e7 firmas\u0131 yeni geli\u015ftirdi\u011fi bir ila\u00e7 ile ilgili ya- dir? paca\u011f\u0131 ara\u015ft\u0131rmada, ara\u015ft\u0131rma sorusunu a\u015fa\u011f\u0131da- ki gruplardan hangisine sormas\u0131 uygun olmaz? A)\tS\u0131n\u0131f\u0131n\u0131zdaki \u00f6\u011frencilerin en sevdi\u011fi \u00f6\u011fretmen hangisidir? A) Doktorlar\t B) Eczac\u0131lar B)\t5\u2013B s\u0131n\u0131f\u0131ndaki \u00f6\u011frencilerin destekledikleri futbol C) Hastalar\tD) \u00d6\u011fretmenler tak\u0131m\u0131 hangileridir? C)\t5\u2013A s\u0131n\u0131f\u0131ndaki Asaf\u2019\u0131n son 3 g\u00fcnde t\u00fcketti\u011fi su miktar\u0131 ka\u00e7 litredir? D)\tOkulumuzdaki \u00f6\u011fretmenlerin en sevdi\u011fi yemek hangisidir? 3.\t A\u015fa\u011f\u0131dakilerden hangisi ara\u015ft\u0131rma sorusudur? 6.\t Bir ev almay\u0131 d\u00fc\u015f\u00fcnen Fatma Han\u0131m sat\u0131l\u0131k ev ilanlar\u0131ndan bir daire be\u011fenirse, bu evle ilgili a\u015fa- A)\t5C s\u0131n\u0131f\u0131ndaki \u00f6\u011frenciler gelecekte hangi mesle\u011fi \u011f\u0131daki sorulardan hangisini emlak\u00e7\u0131ya sormas\u0131 yapmak istemektedir? beklenmez? B)\t\u0130ki basamakl\u0131 en b\u00fcy\u00fck say\u0131 ka\u00e7t\u0131r? A)\tEv ka\u00e7 metrekaredir? C)\tHaftan\u0131n g\u00fcnleri nelerdir? B)\tEvin ka\u00e7 odas\u0131 vard\u0131r? D)\tAtat\u00fcrk ka\u00e7 y\u0131l\u0131nda do\u011fmu\u015ftur? C)\tEvin duvar\u0131 var m\u0131d\u0131r? D)\tBina site i\u00e7erisinde midir? 5. S\u0131n\u0131f 249"]