Question

Which segments are parallel?



Select each correct answer.

Responses

EF¯¯¯¯¯
segment E F

CD¯¯¯¯¯
segment C D

AB¯¯¯¯¯
segment A B

GH¯¯¯¯¯¯
segment G H
Four segments intersected by two transversals. The four segments from top to bottom are segment A B, segment E F, segment G H, and segment C D. The two transversals are segments A D and B C that intersect at point I. Points A, E, I, H, and D lie on transversal A D. Points B, F, I, G, and C lie on transversal B C. Angle A is 42 degrees. Angle A E F is 138 degrees. Angle G H D is 122 degrees and angle D is 42 degrees.

Answer 1

EF, AB, and CD are parallel.

Reason: Along transversal AD, angle A = 42° and angle D = 42°, so AB || CD. Angle AEF = 138°, whose supplement is 42° (180° − 138° = 42°), so EF makes the same angle with AD and is parallel to AB and CD. Angle GHD = 122° (supplement 58°) is different, so GH is not parallel to the others.