Question

1. choose the correct answer. which pair of triangles demonstrates congruence with the aas postulate? a b d c

Explanation:

Step1: Recall AAS Postulate

The AAS (Angle - Angle - Side) postulate 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, then the two triangles are congruent.

Step2: Analyze each option

• Option A:

Check for two angles and a non - included side. Here, we can see two angles and a non - included side (marked with tick marks) that are congruent between the two triangles.

• Option B:

Does not follow the AAS pattern. The side and angle arrangement does not match the AAS criteria.

• Option C:

This is SSS (Side - Side - Side) congruence (three sides marked as equal), not AAS.

• Option D:

This is ASA (Angle - Side - Angle) congruence (side is included between two angles), not AAS.

Answer:

A.