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 substitution definition of congruency converse of the triangle parts relationship theorem

Explanation:

The converse of the isosceles triangle theorem states that if two angles of a triangle are congruent, then the sides opposite those angles are congruent. Given that in $\triangle ABC$, $\angle B\cong\angle C$, this theorem can be used to prove $\overline{AB}\cong\overline{AC}$.

Answer:

converse of the isosceles triangle theorem