ABCD is a parallelogram and XY are the midpoints of sides AB and DC respectively. show that AXCY is a a parallelogram
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AB is parallel to DC
X is the mid point of AB
Therefore XA=XB
Similarly YD=YC
As AB is parallel to DC
Therefore XA=YC and they are parallel also therefore AXCY is a parallelogram.
X is the mid point of AB
Therefore XA=XB
Similarly YD=YC
As AB is parallel to DC
Therefore XA=YC and they are parallel also therefore AXCY is a parallelogram.
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