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: Analyze Triangle Markings

The triangle has two sides marked as equal (congruent) and shares the included angle (the angle between the two equal sides). This matches the Side - Angle - Side (SAS) criterion, where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Step2: Determine Congruence

By the SAS congruence postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. So the relationship is SAS, and the triangles can be proven congruent.

Answer:

The two triangles are related by \(\boldsymbol{\text{Side - Angle - Side (SAS)}}\), so the triangles \(\boldsymbol{\text{can be proven to be congruent}}\).