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write a proof

plzz

Need help write a proof plzz-example-1
User Lessmore
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Answer:

LMNO is a parallelogram

Explanation:

In the two Δ NML and LON

∵ NM = LO ⇒ given

∵ ML = ON ⇒ given

∵ NL is a common side

∴ ΔNML ≅ ΔLON ⇒(SSS)

∴ m∠MLN = m∠ONL ⇒ in alternate position

∴ LM // ON

∵ LM = ON

∵ LM and ON are two opposite sides in quadrilateral LMNO,

they are equal and parallel

∴ LMNO is a parallelogram

User Ian Oxley
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