Jared has justified the ASA (Angle-Side-Angle) Congruence Theorem through his process. The ASA theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Since he has pairs of congruent angles and a pair of congruent sides between those angles, it aligns with the conditions of the ASA theorem.
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?
the ASA congruence Theorem
the SSS congruence Theorem
the HL congruence Theorem
the CPCTC Theorem
1 answer