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In the given figure, it is given that LM = ON and NL = MO.

(a) State the three pairs of equal parts in the ∆NOM and ∆MLN.

(b) Is ∆NOM ≅ ∆MLN? Give reason.

1 Answer

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(a) In ∆NOM and ∆MLN

LM = ON    [given]

MN = MN   [common side]

LN = OM    [given]

(b) Yes, by SSS congruence criterion,

∆NOM ≅ ∆MLN

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