1.

As shown in the adjoining figure, in ∆LMN and ∆PNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles.Write their remaining congruent parts.

Answer»

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, and ∠LNM ≅ ∠PMN[c.a.c.t.]



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