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Question
In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.
Solution
ΔSMA and ΔOPT
∠S ≅ ∠O ....[corresponding angles are equal]
∠A ≅ ∠T ....[corresponding angles are equal]
SM ≅ OP ....[corresponding sides are equal]
Here, the two triangles are congruent by the ASA test, in the correspondence SMA ↔ OPT.
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