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:
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.