Jared was giving two generic triangles with a pair of congruent sides between two pairs of congruent angles. He shows that a sequence or rigid transformations maps one triangle onto the other triangle such that the triangles overlap perfectly. What theorem has he justified through this process?

Question

A. the ASA Congruence Theorem
B. the SSS Congruence Theorem
C. the HL Congruence Theorem
D. the CPCTC Theorem

Answer 1

Jared's process of showing that one triangle can be mapped onto the other through rigid transformations, specifically with a pair of congruent sides between two pairs of congruent angles, justifies the ASA Congruence Theorem. Therefore, the correct answer is:

A. the ASA Congruence Theorem