Question

Which postulate or theorem proves that these two triangles are congruent?

Responses

HL Congruence Theorem

SAS Congruence Postulate

AAS Congruence Theorem

ASA Congruence Postulate

Quadrilateral F G H J with a line segment connecting vertices J and G. Angles F and H are each labeled with 1 arc. Angles F G J and H J G are each labeled with 2 arcs.

Answer 1

Answer: ASA Congruence Postulate

Explanation: Angle-Side-Angle congruence postulate is saying that if two triangle is congruent in angle, side, angle that means the triangle is congruent.

In this question, the QNP and MNR angle should be congruent since they are made from 2 same lines. Knowing this, if you combine it with the other data, you will get 2 congruent angle and 1 congruent side.