Question

1. are the below triangles congruent? *

yes by sss
yes by sas
yes by asa
yes by aas
no

Explanation:

Step1: Identify matching sides/angles

First triangle: 1 side with 1 tick, 1 side with 2 ticks, included angle marked.
Second triangle: 1 side with 1 tick, 1 side with 2 ticks, included angle marked.

Step2: Match congruence criterion

The SAS (Side-Angle-Side) rule states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Here, the two pairs of corresponding sides are congruent, and the included angles (marked angles between the sides) are congruent.

Answer:

Yes by SAS