Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent. answer the two triangles are related by , so the triangles

Explanation:

Step1: Check for similarity of angles

By looking at the triangles, we can see that the corresponding angles are equal. This is a property related to the Angle - Angle (AA) similarity criterion. But for congruence, we need more than just angle - angle similarity.

Step2: Analyze for congruence

Since we are not given any information about the side lengths being equal. Just having equal angles (by AA similarity which is for similarity of triangles) is not sufficient for congruence. The triangles are similar (by AA as all three angles are equal in a triangle if two are equal) but not congruent as there is no information about side - side equality.

Answer:

The two triangles are related by similarity (AA similarity), so the triangles are not congruent.