Question

Given ∠ABE = ∠EAB, which segments are congruent?

A. AB = BE
B. EA = AB
C. BE = EA
D. AC = AD

Answer 1

Given ∠ABE = ∠EAB, the triangle ABE is isosceles, thus AB is congruent to BE. Therefore, from ∠ABE = ∠EAB, we can conclude that:

C. BE = EA

So, the correct answer is C. BE = EA.

Step-by-step explanation:

If ∠ABE = ∠EAB, it implies that angles ABE and EAB are congruent. In an isosceles triangle, if two angles are congruent, then the sides opposite those angles are also congruent.

Therefore, from ∠ABE = ∠EAB, we can conclude that:

C. BE = EA

So, the correct answer is C. BE = EA.