Question

which of the following is not a method for proving triangles congruent?
o sss
o sas
o aaa
o asa

Explanation:

Step1: Recall congruence criteria

SSS (Side - Side - Side) proves congruence when three sides of one triangle are equal to three sides of another.

Step2: Recall another criterion

SAS (Side - Angle - Side) proves congruence when two sides and the included angle of one triangle are equal to two sides and the included angle of another.

Step3: Recall more criteria

ASA (Angle - Side - Angle) proves congruence when two angles and the included side of one triangle are equal to two angles and the included side of another.

Step4: Analyze AAA

AAA (Angle - Angle - Angle) only shows that the triangles are similar (same shape, proportional sides), not congruent (same shape and same size).

Answer:

C. AAA