The pairs of triangles appear to be congruent are Triangles 1 and 4, Triangles 1 and 3 and Triangles 3 and 4, that is option B, option C and option E. This can be obtained by understanding the concept of congruence.
Which are the required pairs?
- Congruent triangles have same size and shape.
- Corresponding sides and angles are equal.
- Two congruent triangles can overlap perfectly.
In the question, Triangle 2 is larger than the other triangles.
Triangle 1, Triangle 3 and Triangle 4 appears to have the same size and shape.
Thus Triangle 1, Triangle 3 and Triangle 4 appears to be congruent to each other.
Hence the pairs of triangles appear to be congruent are Triangles 1 and 4, Triangles 1 and 3 and Triangles 3 and 4, that is option B, option C and option E.
Learn more about congruence of triangles here:
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