Question

from the given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: △klr and $overline{kl}congoverline{lr}$. prove: $angle kcongangle r$. a b c d e converse of the base angles theorem

Explanation:

Step1: Recall the theorem

The Base - Angles Theorem's converse states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Step2: Analyze the given and prove statements

In $\triangle KLR$, we are given $\overline{KL}\cong\overline{LR}$ and we need to prove $\angle K\cong\angle R$. The angles $\angle K$ and $\angle R$ are opposite the congruent sides $\overline{KL}$ and $\overline{LR}$ respectively. So, the Converse of the Base Angles Theorem justifies the prove statement.

Answer:

A. Converse of the Base Angles Theorem