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:

To determine the relationship, we analyze the triangles. If they share a common side (the diagonal) and have two sides marked as equal (the tick - marks on sides), and the included angle (the angle between the equal sides and the common side) is the same (vertical angles or common angle), we can use the SAS (Side - Angle - Side) congruence criterion. The two triangles are related by the SAS congruence postulate, which 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 triangles are congruent. So the triangles are congruent.

Answer:

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