Question

1. choose the correct answer.

which theorem or postulate could be used to prove the congruence of the triangles?
asa
sas
sss
aas

Explanation:

Step1: Recall triangle congruence theorems

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 triangles

In the given triangles, we have two angles and a non - included side (the side is marked as equal and the two angles are given).

Answer:

AAS