Question

ABCD is a parallelogram MN are midpoint of AD and BC respectively. MN is parallel to DC. DO and CO are the angle bisector of angle D and C respectively. Prove that MD is equal to NC

Answer 1

MD is parallel to CN(as AD parallel to BC)
DC is parallel to MN
So MDCN is a parallelogram

Therefore MD=NC(opposite sides of a parallelogram)

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