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

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

GPT-4o mini · Answer

Patamon has justified the **SAS Congruence Theorem**. This theorem states that if two sides of one triangle are congruent to two sides of another triangle and the included angles are also congruent, then the two triangles are congruent. The description you provided mentions a pair of congruent angles between two pairs of congruent sides, which aligns perfectly with the conditions of the SAS Congruence Theorem.