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

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)
Responses

the SAS congruence theorem
the SAS congruence theorem

the SSS congruence theorem
the SSS congruence theorem

the HL congruence theorem
the HL congruence theorem

the CPCTC congruence theorem

GPT-4o mini · Answer

Georgia has shown the **SAS (Side-Angle-Side) congruence theorem** to be true by performing a series of rigid transformations to map one triangle perfectly onto the other. The SAS theorem states that if two triangles have two pairs of congruent sides and the included angle between those sides is also congruent, then the triangles are congruent.