Question

1. triangles abc and pqr are congruent. which statement about the triangles is true? ∠a≅∠r ∠c≅∠r cb = pq ab = rq

Explanation:

Step1: Recall congruent - triangle properties

In congruent triangles, corresponding sides and angles are equal.

Step2: Match corresponding parts

For $\triangle ABC$ and $\triangle PQR$ to be congruent, the order of vertices matters. The side $AB$ in $\triangle ABC$ corresponds to the side $PQ$ in $\triangle PQR$, $BC$ corresponds to $QR$, $AC$ corresponds to $PR$, $\angle A$ corresponds to $\angle P$, $\angle B$ corresponds to $\angle Q$, and $\angle C$ corresponds to $\angle R$.

Answer:

No options are clearly visible in the provided image. But if we assume the options are as presented in the text - for congruent triangles $\triangle ABC$ and $\triangle PQR$, the correct statement about corresponding parts would follow the rules of congruence. If we had to choose from the given types of statements (assuming the correct one is among them), the side - side equality statements should match the corresponding sides. For example, if the triangles are congruent, $AB = PQ$, $BC=QR$, $AC = PR$ and $\angle A=\angle P$, $\angle B=\angle Q$, $\angle C=\angle R$. If we assume the options are about correct correspondences, the correct one would be the one that pairs the vertices and sides/angles correctly according to the congruence of the two triangles.