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)

Responses

the CPCTC Theorem
the CPCTC Theorem

the SSS Congruence Theorem
the SSS Congruence Theorem

the HL Congruence Theorem
the HL Congruence Theorem

the SAS Congruence Theorem

1 answer

Patamon has justified the SAS Congruence Theorem through the process of showing that a sequence of rigid transformations maps one triangle onto the other, with one pair of congruent angles between two pairs of congruent sides. The SAS (Side-Angle-Side) Congruence Theorem states that if two triangles have two sides of one triangle congruent to two sides of another triangle and the included angle between those sides is congruent, then the triangles are congruent.