Question

name the postulate that makes the triangles congruent. 10/20

Explanation:

Step1: Recall triangle congruence postulates

ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
SSS (Side - Side - Side): All three sides of one triangle are equal to all three sides of another triangle.
AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle.

Step2: Analyze the given triangle diagram

In the diagram, we have two angles (\(\angle D\) and \(\angle B\)) and a non - included side (\(AC\) is common, and the sides marked as equal) for the two triangles \(\triangle ADC\) and \(\triangle ABC\).

Answer:

AAS