Peter was given two generic triangles with one pair of congruent angles between two pairs of congruent sides. They show that a sequence of ridge transformations map one triangle onto the other triangle such that the triangles overlap perfectly. What theorem had Peter justified through this process?(1 point) Responses The CPCTC Theorem The CPCTC Theorem The HL Congruence Theorem The HL Congruence Theorem The SAS Congruence Theorem The SAS Congruence Theorem The SSS Congruence Theorem

Answer 1

Peter justified the SAS Congruence Theorem through this process. The SAS (Side-Angle-Side) Congruence Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. In this case, since there is one pair of congruent angles between two pairs of congruent sides, it validates the conditions of the SAS theorem.