ABCD is a parallelogram and X,Y are the mid points of sides AB and DC respectively . show that quadrlaterals AXCY is a parallelogram
given: ABCD is a llgm.
X & Y are the mid points of sides AB & DC respectively.
to prove: quadrilateral AXCY is a llgm.
proof: In AXCY,
AX = CY (AB = CD, X & Y are mid points)
AX ll CY (AB ll CD)
AXCY is a llgm. (if a pair of opp. sides of a quadrilateral are equal and parallel, then it is a llgm)
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