Question

1. choose the correct answer.

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

Explanation:

Step1: Recall triangle congruence theorems

• 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.
• 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.
• SSA (Side - Side - Angle): Not a valid congruence theorem in general (except for right - angled triangles where it is equivalent to HL).

Step2: Analyze the given triangles

From the figure, we can see that two sides and the included angle (the angle between the two sides) of one triangle are equal to two sides and the included angle of the other triangle.

Answer:

SAS