Georgia was shown two triangles that had one pair of congruent angles between two pairs of congruent sides. She preformed a series of rigid transformations in order to map one triangle perfectly on top of the other. What theorem has Georgia show to be true by doing these transformations?(1 point)

Question

Responses

the SSS congruence theorem
the SSS congruence theorem

the CPCTC congruence theorem
the CPCTC congruence theorem

the SAS congruence theorem
the SAS congruence theorem

the HL congruence theorem

Answer 1

The correct response is the SAS congruence theorem.

The SAS (Side-Angle-Side) congruence theorem states that if two sides of one triangle are congruent to two sides of another triangle and the angle between those sides is congruent, then the two triangles are congruent. In this case, since Georgia showed that one pair of angles is congruent between triangles and performed rigid transformations, this indicates that she demonstrated the congruence of the triangles using the SAS theorem.