Question

consider the diagram and proof by contradiction. given: △abc with ∠b ≅ ∠c prove: ab ≅ ac which would prove that ab ≅ ac? converse of the isosceles triangle theorem definition of congruency

Explanation:

Given ∠B ≅ ∠C in △ABC, to prove AB ≅ AC, the converse of the isosceles triangle theorem applies. This theorem states that if two angles of a triangle are congruent, the sides opposite them are congruent. ∠B and ∠C are opposite AC and AB, respectively, so AB ≅ AC.

Answer:

A. converse of the isosceles triangle theorem