Question

problem 15: (first taught in lesson 43) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: △pqr and ∠p≅∠q prove: pr≅rq a b c d e converse of the base angles theorem go

Explanation:

Step1: Recall base - angles theorem

The base - angles theorem states that in an isosceles triangle, the base angles are congruent. Its converse is used here.

Step2: Analyze given and prove statements

Given two congruent angles (\(\angle P\cong\angle Q\)) in \(\triangle PQR\), we want to prove the opposite sides (\(\overline{PR}\cong\overline{RQ}\)) are congruent. The converse of the base - angles theorem allows us to do this as it says if two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Answer:

B. Converse of the Base Angles Theorem