Question

1. are the below triangles congruent? *

yes by ss
yes by sas
yes by asa
yes by aas
no

Explanation:

Step1: Identify matching parts

In the triangles: 1 pair of corresponding sides are marked equal, 1 pair of corresponding angles (the unmarked angles, opposite the equal side) are equal, and 1 pair of corresponding non-included angles are equal. This fits the AAS (Angle-Angle-Side) congruence criterion.

Step2: Verify congruence rule

AAS states that if two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of another triangle, the triangles are congruent. The marked parts satisfy this.

Answer:

D. Yes by AAS