Question

1. consider the following three triangles:

which two triangles are congruent?

Explanation:

Step1: Recall congruence (ASA rule)

Two triangles are congruent if two angles and the included side of one triangle match the corresponding two angles and included side of another (ASA congruence criterion).

Step2: Analyze Triangle A

Triangle A has: one marked included side, two marked angles (one at the end of the marked side, one at the top vertex).

Step3: Analyze Triangle B

Triangle B has: one marked side (not included between the two marked angles), two marked angles at non-included vertices.

Step4: Analyze Triangle C

Triangle C has: one marked included side, with two marked angles at each end of this included side, matching the ASA structure of Triangle A (corresponding angles and included side are congruent).

Answer:

A and C