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 cpctc theorem

the sss congruence theorem

the hl congruence theorem

the sas congruence theorem

Explanation:

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. Peter had two pairs of congruent sides with a congruent included angle, which matches the SAS criterion.

Answer:

The SAS Congruence Theorem