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?

Question

asked Jan 15, 2019 41.7k views

2 Answers

Day · Answer 1 · 2019-01-19T11:59:30+0000

Answer:

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.