Question

AB is parallel to CD. CD is rotated 180° Which statement describes the relationship between ('D' and the transformed AB? How can

you prove it?

Answer 1

Answer :- Statement (B) ,C'D' ll AB

Given AB is parallel to CD. CD rotated.

Consider a transversal line l intersecting AB and CD at angle x.

therefore By slope formula,

slope of AB and CD = m =tanx

Now after rotation of 180 CD become C'D'

therefore, slope of C'D' = =tanx=m

Hence C'D' ll AB.