need help
write a proof
plzz
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Answer:
LMNO is a parallelogram
Step-by-step 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