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In figure, ABCD and ABEF are parallelograms. Prove that CDFE is also a parallelogram. |
Answer» ∵ 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. |
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