Question

name the postulate that makes the triangles congruent.

Explanation:

Step1: Recall triangle congruence postulates

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 the given triangles

In triangles \( \triangle ADC\) and \( \triangle ABC\), we have two angles (\(\angle D=\angle B\) and \(\angle DAC = \angle BAC\)) and a non - included side (\(AC = AC\) - common side).

Answer:

AAS