Question

which congruency theorem is described below? \in two triangles, if two pairs of sides and their included angles have equal measurement, then the triangles are congruent.\ sss asa sas aaa

Explanation:

• SSS (Side - Side - Side) congruence theorem states that if three pairs of corresponding sides of two triangles are equal, the triangles are congruent. This does not match the given description.
• ASA (Angle - Side - Angle) congruence theorem states that 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. This is not what is described.
• SAS (Side - Angle - Side) congruence theorem states that 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. This matches the given description.
• AAA (Angle - Angle - Angle) is a similarity criterion, not a congruence criterion for triangles (it only shows the triangles are similar, not necessarily congruent).

Answer:

C. SAS