Q5 of 33 Page 95

In the figure aside, ABCD and ABEF are two parallelograms. I prove with reason that CDFE is also a parallelogram.

Given ABCD and ABEF are two parallelograms


⇒ DC = AB and DC ∥ AB ………eq(1)


And AB = FE and AB ∥ FE …………eq(2)


From eq (1) and (2)


⇒ DC = FE & DC ∥ FE


Since a pair of opposite sides is equal and parallel


DCEF is Parallelogram.


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