Question

Given ∠ABE = ∠EAB, which of the following Segments are congruent?

A) AB = BE
B) EA = AB
C) BE = EA
D) AC = AD
E) BE = BC

Answer 1

In an isosceles triangle, sides opposite equal angles are congruent; hence, AB = BE if ∠ABE = ∠EAB.

Step-by-step explanation:

If ∠ABE = ∠EAB, we are dealing with an isosceles triangle where two angles are equal. In an isosceles triangle, the sides opposite the equal angles are also equal. Therefore, since angle ABE is equal to angle EAB, the sides opposite these angles which are AB and BE must be congruent. So, the correct answer is A) AB = BE.