Question

parallelogram ABCD in which diagonals AC and BD intersect at improve M midpoint of LN

Answer 1

given : ABCD is a parallelogram AC & BD r the diagonals intersecting at M
to prove:L is the mid point of LN
profe:In  ΔAML and ΔCMN
               ∠MAL = ∠MCN(alternate interior angles)
               ∠AML = ∠CMN(vertically opposite angles)
               AM = CM (diagonals in a parallelogram bisect each other)
           ∴ ΔAML ≈ ΔCMN
        ∴LM = NM (cpct)
    ∴M is the  midpoint of LN