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

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)
• The SSS Congruence Theorem
• The CPCTC Theorem
• The SAS Congruence Theorem
• The HL Congruence Theorem

GPT-4o mini · Answer

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 two triangles are congruent. In Peter's case, he had two pairs of congruent sides and one pair of congruent angles between them, which aligns with the SAS criterion.