Question

1. choose the correct answer.

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

Explanation:

Step1: Recall triangle congruence theorems

• SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
• ASA (Angle - Side - Angle): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
• SAS (Side - Angle - Side): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
• SSA (Side - Side - Angle) is not a valid congruence theorem in general.

Step2: Analyze the given triangles

The marks on the sides of the triangles indicate that all three sides of one triangle are equal to the corresponding three sides of the other triangle.

Answer:

SSS