ใบงานเรื่องเส้นขนาน

332 1 1 1) 3 22102 2 4 1. 2. 2.1 1. 2. 1. 2. 1. 2.

2 333 2.2 1. l1 2. l2 1. 1. 2. 2. 1. 1. 2. 2. 1. 2. l3 1. 2. 1. 2. 1. 2.

2 2 341 2 (2) 4 22102 2 1. 1.1 ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... 1.2 ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... 1.3 ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... .........................................................................................................................

342 2. 2.1 2.2 ................................................... ...................................................... 2.3 2.4 ................................................... ...................................................... 3. .......................................................................... .......................................................................... .......................................................................... .......................................................................... .......................................................................... 4. AB CD ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ .......................................................................................

5. AB CD 2 343 6. AB CD x ........................................................................................ ........................................................................................ ........................................................................................ ....................................................................................... X ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ 7. AB CD X ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................

2 353 3 1) 1) 3 2 3 4 22102 1. AB // CD XY AB CD E F 1 AEF 1.1 D F E =................................ 1.2) CF E =................................ 2 FEB 2.1 Y F C =................................ 2.2) EF C =................................ 2. AB // CD DYX DYX YXZ (………………………..) =( ………………..= 180 …………….. = 20 D Y X 2a = ……………………….

354 X 3. AB // CD BNM + ............. = ................ 180 135 + ............. = ................ K x = ................ K x = ................ K K

362 4 (2) 3 4 (2) 4 22102 2 1. AB CD x 1.1 AFC = CFE = x x 1.2 ADC ADB x x

2 363 2. AB CD AB CD 1. A NO = 2. CON = 3. PCO = 1. COP + 120 = 180 ( ) COP = 2. 20 + COP + CP O = 180 ( ) ) CPO = ) 3. CP O + …………. = ………….. ( 3) 4. …………… = 80 (2 OPD ANP 4) ( 5. …………… = ……………….. 6) AB CD

2 371 2 5 5 3 22102 4 1. AB // CD y AB // CD 180 3y – 15 = 3y – 2y = y= 2. ABC B A C A CB A B C 180 DE C A CD A CB BCE …………… ( A CD = ………………… ( AB // DE BCE = ………………… ( AB // DE A CB ……….…=…………… ACD CAB BCE ABC

372 x 3. AB // CD , A BR 45 ,CDR 30 x RN AB CD BRN A BR = ………………… DRN = …………… = …………… x = BRN+DRN= ………………………………= ………………… 4. PQ // RS , QMR 90 , MRS 40 y y MN PQ RS NMR MRS = ………………… NMR QMN QMR 90 QMN = 90 – ……………= ……………… QMN = ………………… ( 180 y = ………………… = …………………

2 381 3 22102 1) 4 1) 2 AB // CD x x AB // CD x x AB // CD y y AB // CD x

388 7 7 2) 3 22102 2) 4 22 1. AC // MD CM // DB AM = MB ACM MDB 1) AC // MD CM // DB ( 2) A MC .................. (.........................................................................................) 3) C AM .................. (.........................................................................................) 4) AM = .................... (.........................................................................................) 5) ACM ...................

2 389 2. AB // CD B AM DCN AM // CN AB // CD AM ) ) BAM ( ( = ( BAM DCN ( ) = ( ) AM // CN

398 8 8 (1) (1) 3 22102 2 2 4 1. 2. 1. AB CD xy ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................ 2. AB CD x ……………………………………………………….……………………….. …………………………………….………………………………………….. ……………………………………………………….……………………….. ………………………………………………………….…………………….. ……………………………………………………………………………….. ………………………………………………………………………………..

2 399 3. x ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................ ............................................................................................................................................................................

408 9 9 (2) (2) 3 22102 2 2 4 1. AB // CD EF AB CD MN D NM = 54 2(a) = b c = d x D NM = a + ………. = 54 ( ) --------- 2 (a) = ( ) --------- a + 2 (a) = 54 = 18 + = 180 180 ) ) 54 + = 180 = 180 – 54 = 126 = c + d = 126 c=d = a + c + x = 180 ( 18 + 63 + x = x=

2 409 MON NOQ 2. AB // CD = 130 ( ) AMO NMO = 180 ( ) 180 ) NMO = ( M N O ................. ................... = 180 ) + + MON = 180 MON = MON NO Q = 180 95 + NO Q = NOQ =

416 10 10 2 3 2 4 22102 1. 1.1 ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... 1.2 ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... ......................................................................................................................................................................... .........................................................................................................................................................................

2 417 2. 1 ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ............................................................................................................................................................................... ...............................................................................................................................................................................