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)

Question

The CPCTC Theorem
The SAS Congruence Theorem
The SSS Congruence Theorem
The HL Congruence Theorem

Answer 1

Peter had justified the SAS Congruence Theorem through the process of showing that a sequence of rigid transformations maps one triangle onto another, where there is a pair of congruent angles between two pairs of congruent sides. 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.