Question

select all the pairs of triangles that are congruent by asa.

Explanation:

Step1: Recall ASA congruence criterion

ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Analyze each pair

• For pair A:

Check if two angles and the included side match. By visual inspection (assuming the markings represent angles and side), we can see that the two triangles in pair A have two corresponding angles equal and the included side equal.

• For pair B:

Similarly, check for two angles and the included side. The two triangles in pair B also satisfy the ASA criterion.

• For pair C:

The side is not the included side between the two marked angles. So, it does not satisfy ASA.

• For pair D:

The side is not the included side between the two marked angles. So, it does not satisfy ASA.

• For pair E:

The side is not the included side between the two marked angles. So, it does not satisfy ASA.

Answer:

A. Option A, B. Option B