Question

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

Explanation:

Step1: Analyze the given information

We have two triangles. One triangle has two sides and the included angle (SAS - Side - Angle - Side) marked as equal (from the markings on the sides and the angle).

Step2: Recall the congruence criteria

The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Step3: Determine the relationship

Since the two triangles have two sides and the included angle equal (by the markings), they are related by the SAS congruence criterion.

Answer:

The two triangles are related by SAS (Side - Angle - Side), so the triangles are congruent.