Astudent 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?

Option D.

Step-by-step 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.