patamon was given two generic traingles with one pair of congruent angles between two pairs of congruent sides. they show that a sequence of rigid transformations maps one traingle onto the other traingle such that the triangles overlap perfectly. what theorem has patamon jusitified through this process?

Question

a. the cpctc theorem
b. the sss congruence theorem
c. the sas congruence theorem
d. the hl congruence theorem

Answer 1

Patamon's process of using a sequence of rigid transformations to show that one triangle can be mapped onto another, such that they overlap perfectly, suggests that the corresponding sides and angles of the triangles are congruent. Given that there is one pair of congruent angles between two pairs of congruent sides, this situation aligns with the SAS (Side-Angle-Side) Congruence Theorem.

Therefore, the correct answer is:
c. the sas congruence theorem