Question

ii. state whether these triangles are congruent by asa, aas, or none.

Explanation:

Step1: Recall congruence criteria

ASA (Angle - Side - Angle) means two angles and the included side of one triangle are congruent to two angles and the included side of another triangle. AAS (Angle - Angle - Side) means two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle.

Step2: Analyze each pair of triangles

For each pair, check the marked angles and sides. If two angles and the included side match, it's ASA. If two angles and a non - included side match, it's AAS. If neither, it's none.

1. There are two angles and the included side congruent, so ASA.
2. There are two angles and the included side congruent, so ASA.
3. There are two angles and a non - included side congruent, so AAS.
4. There are two angles and a non - included side congruent, so AAS.
5. There are two angles and the included side congruent, so ASA.
6. There are two angles and a non - included side congruent, so AAS.

Answer:

1. ASA
2. ASA
3. AAS
4. AAS
5. ASA
6. AAS