Question

question determine the relationship between the two triangles and whether or not they can be proven to be congruent. answer attempt 1 out of 2 the two triangles are related by triangles , so the submit answer

Explanation:

Step1: Recall triangle congruence criteria

There are several triangle congruence criteria such as SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - angled triangles).

Step2: Analyze the given triangles

In the two triangles, we have two sides equal (marked with the same tick marks) and the included angle (the angle between the two sides) is also equal (as it is the same non - marked angle in the context of the problem).

Step3: Apply the SAS criterion

According to the SAS (Side - Angle - Side) congruence criterion, 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.

Answer:

The two triangles are congruent by the SAS (Side - Angle - Side) criterion.