Question

A student is given three triangles and must determine which triangles are congruent. The student is also told that B=E=Y. Which of the following statements is true?

Answer 1

D is correct answer.

Explanation:

Answer 2

Option D.

Explanation:

Three triangles ABC, DEF and XYZ are given in the question.

∠B = ∠Y = ∠Z

Then we have to identify two triangles which are congruent.

As shown in the picture in ΔABC and Δ XYZ

∠B = ∠Y

side AB = side YZ

side BC = side XY

So these triangles are following SAS property for congruence.

Therefore ΔABC ≅ ΔXYZ

In other words both the triangles ABC and XYZ are reflection of each other.

This reveals that Option D is the correct option.