# In the figure,ABCD is a parallelogram whose diagonal AC and BD meer at the point O. L and M are Points on AC such that AL=CM.Show that BMDL is a

Parallelogram.

1
by PankajSingh

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Parallelogram.

1
by PankajSingh

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in ΔABL and ΔDMC

AB = CD

AL = CM

∠BAL = ∠DCM

∴ ΔABL and ΔDMC

so bl = dm ( by cpct )

similarily using congruency and cpct , all sides and alternate angles would be equal.

finally you would be able to prove bldm as a parallelogram