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Maharashtra State BoardSSC (English Medium) 9th Standard

As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts. - Geometry

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Question

As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.

Sum

Solution

​In △LMN and △PNM

seg LM ≅ seg PN

seg LN ≅ seg PM         ...(Given)

seg MN ≅ seg NM       ...(Common side)

△LMN ≅ △PNM          ...(SSS test)

`{:("∠LMN ≅ ∠PNM"), ("∠MLN ≅ ∠NPM"), ("∠LNM ≅ ∠PMN"):} }  ...("c.a.c.t.")`

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Chapter 3: Triangles - Practice Set 3.2 [Page 32]

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