Question

1. which pair of triangles is congruent by aas? △pqt and △rqt △prt and △pqt △tpr and △spr △puq and △tus

Explanation:

Step1: Recall AAS congruence

AAS (Angle - Angle - Side) congruence states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, the two triangles are congruent.

Step2: Analyze given triangles

In \(\triangle PQT\) and \(\triangle RST\), we can observe angles. Assume we have two pairs of equal angles and a non - included side equal. For example, if \(\angle PQT=\angle RST\), \(\angle QTP=\angle STR\) and \(PT = RT\) (non - included side), they can be congruent by AAS.

Answer:

A. \(\triangle PQT\) and \(\triangle RST\)