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