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QUESTION IMAGE

determine the relationship between the two triangles and whether or not…

Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer
attempt 1 out of 6
the two triangles are related by
,so the
triangles
.

Explanation:

Step1: Recall congruence criteria

Triangles can be congruent by ASA (Angle - Side - Angle), SAS (Side - Angle - Side), SSS (Side - Side - Side), AAS (Angle - Angle - Side) etc.

Step2: Analyze the given triangles

In the two triangles, we have two angles and a non - included side. The two angles in one triangle are equal to the two angles in the other triangle and the non - included side (marked with a single tick) is equal. This is the AAS (Angle - Angle - Side) congruence criterion.

Answer:

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