Question

Which postulate or theorem proves △MNQ≅△PNQ?

Responses

SAS Congruence Postulate
S A S Congruence Postulate

AAS Congruence Theorem
A A S Congruence Theorem

ASA Congruence Postulate
A S A Congruence Postulate

​SSS Congruence Postulate​
​ S S S Congruence Postulate ​
Triangle M P Q with point N between M and P and segment Q N drawn. Angle Q N P is a right angle. Angles M and P are marked congruent.

Answer 1

AAS Congruence Theorem.

Reason: N is between M and P, and QN is perpendicular to MP, so ∠QNM = ∠QNP (both right). Also ∠M ≅ ∠P (given), and NQ is common to both triangles. Thus two angles and a non‑included side are congruent, so △MNQ ≅ △PNQ by AAS.