Question

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

Explanation:

Step1: Recall congruence methods

SSS (Side - Side - Side) means if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Step2: Recall another method

SAS (Side - Angle - Side) means 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.

Step3: Recall more methods

ASA (Angle - Side - Angle) means 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.

Step4: Analyze AA

AA (Angle - Angle) only shows that two pairs of angles are equal. This is a criterion for similarity, not congruence. Two triangles with only equal angles can have different side - lengths and thus are not congruent.

Answer:

C. AA