Question

name the postulate, if possible, that makes the triangles congruent. aas asa sas not congruent

Explanation:

Step1: Recall triangle congruence postulates

• \(AAS\) (Angle - Angle - Side): 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, then the triangles are congruent.
• \(ASA\) (Angle - Side - Angle): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
• \(SAS\) (Side - Angle - Side): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step2: Analyze the given triangles

• In \(\triangle TRS\) and \(\triangle CAB\), we have two pairs of angles (\(\angle T\cong\angle B\), \(\angle R\cong\angle C\)) and a pair of non - included sides (the marked sides) congruent.

Answer:

A. AAS