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 SSS congruence theorem
the SSS congruence theorem

the HL congruence theorem
the HL congruence theorem

the SAS congruence theorem
the SAS congruence theorem

the CPCTC congruence theorem

GPT-4o mini · Answer

By performing a series of rigid transformations to map one triangle perfectly on top of the other, Georgia has shown the **SAS congruence theorem** to be true. The SAS (Side-Angle-Side) theorem states that if two sides of one triangle are congruent to two sides of another triangle and the included angles are congruent, the triangles are congruent. In this case, she had one pair of congruent angles and two pairs of congruent sides, which aligns with the SAS theorem.