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

Question

answers:

the ASA con gruence theorem
the SSS congruence Theorem
the HL congruence theorem
the CPCTC theorem

Answer 1

Jared has justified the ASA congruence theorem through his process. The ASA (Angle-Side-Angle) theorem states that if in two triangles, a pair of angles and the included side between them is congruent, then the two triangles are congruent. In this case, the congruent sides and congruent angles are sufficient to demonstrate that one triangle can be transformed to coincide with the other.