ABCD and ABXY are two parallelograms on the same base AB on opposite sides of it. Prove that XCDY is also a parallelograms.
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Step-by-step explanation:
In llgm ABCD,
ABllDC and ADll BC.
AB=DC,and AD=BC.
In llgm ABXY,
ABll XY
AB=XY
AYll BX
AY= BX.
From llgm ABCD and llgm ABXY,
AB= DC(equation 1)
AB=XY(Equation 2)
therefore,DC=XY ( from 1 and 2)
Hence,XCDY is a llgm.
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