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In pair of triangles given below, parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which triangles in pair are congruent. Also state the remaining congruent parts. |
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Answer» In ∆MST and ∆TBM, ∴ side MS ≅ side TB … [Given] m∠MST = m∠TBM = 90° … [Given] hypotenuse MT ≅ hypotenuse MT …[Common side] ∴ ∆MST ≅ ∆TBM …[by hypotenuse-side test] ∴ side ST ≅ side BM …[Corresponding sides of congruent triangles] ∠SMT ≅ ∠BTM …[Corresponding sides of congruent triangles] ∠STM ≅ ∠BMT …[Corresponding sides of congruent triangles] |
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