Patamon was given two generic triangles with one pair of congruent angles between two pairs of congruent sides. They show that a sequence of rigid transformations maps one triangle onto the other triangle such that the triangles overlap perfectly. What theorem has Patamon justified through this process?(1 point)

Question

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 Theorem

Answer 1

The situation described involves two triangles that have one pair of congruent angles between two pairs of congruent sides. This corresponds to the SAS Congruence Theorem (Side-Angle-Side Congruence Theorem), which states that if two sides of one triangle are congruent to two sides of another triangle, and the angle between those sides is also congruent, then the triangles are congruent.

Therefore, the correct response is:

the SAS Congruence Theorem