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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?

Line AB and Line CD are parallel lines. Which translation of the plane can we use-example-1
User Wladimiro
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1 Answer

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Answer:

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.

User David Trang
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