Respuesta :

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