In figure, ABCD and ABEF are parallelograms. Prove that CDFE is also a parallelogram.
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In figure, ABCD and ABEF are parallelograms. Prove that CDFE is also a parallelogram.
In figure, ABCD and ABEF are parallelograms. Prove that CDFE is also a parallelogram.
∵ ABCD is a parallelogram
∴ AB = DC
and AB || DC …(i)
Reason: Opposite sides of a parallelogram are equal and parallel.
Again ABEF is a parallelogram
⇒ AB = FE
and AB || FE …(ii)
From (i) and (ii)
DC = FE and DC || FE
Therefore, CDFE is a parallelogram.
Hence proved.