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
, so the triangles

Explanation:

Step1: Recall congruence criteria

The congruence criteria for triangles include SAS (Side - Angle - Side), SSS (Side - Side - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - angled triangles).

Step2: Analyze the given triangles

Looking at the two triangles, we can observe that they have two pairs of equal sides (marked with ticks) and the included angles (the angles between the equal sides) are equal (as they are the same type of angle in the context of the problem). This satisfies the SAS (Side - Angle - Side) congruence criterion.

Answer:

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