Maharashtra State BoardSSC (English Medium) 8th Standard
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N Each Pair of Triangles Given Below, Parts Shown bOne Correspondence of Vertices by Which Triangles in Each Pair Are Congruent and Remaining Congruent Parts. - Mathematics

Sum

In the  triangle given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each pair are congruent and remaining congruent parts.

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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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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 13 Congruence of triangles
Practice Set 13.2 | Q 1.1 | Page 87
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