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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
First, identify the corresponding equal angles: both triangles share two pairs of congruent angles, meaning the third pair is also congruent by the triangle angle sum theorem. This makes the triangles similar. However, there is no information about congruent corresponding sides, so we cannot prove they are congruent.
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The two triangles are related by having two pairs of congruent corresponding angles (AA similarity), so the triangles cannot be proven to be congruent (no congruent corresponding sides are confirmed, only angle similarity is established).