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Question
In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
Solution
In ∆MST and ∆TBM,
side MS ≅ side TB (given)
∠MST ≅ ∠TBM (right angle)
side MT is common
∴ By Hypotenuse-side test, ∆MST ≅ ∆TBM.
∴ side ST ≅ side MB,
∠SMT ≅ ∠BTM,
∠STM ≅ ∠BMT
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