Question

Line AB and Line CD are parallel lines. Which translation of the plane can we use to prove angles x and y are congruent, and why?

Answer 1

Option C.

Explanation:

In the given figure we have two parallel lines AB and CD.

A transversal line FB intersect the parallel lines at point B and C.

We know that the if a transversal line intersect two parallel lines, then corresponding angles are congruent.

`\angle ABC=\anle ECF`

`x=y`

To prove this by translation, we need a translation along the directed line segment CB maps ine CD onto line AB and angle y onto angle x.

Therefore, the correct option is C.