Answer :


In parallelogram ABCD:


AB = CD……………..(i) [In aparallelogram opposite sides are equal and parallel]


AE = CF…….. (ii) given


On subtracting (ii) from (i)


AB-AE = CD-CF


BE = DF


BE parallel to DF


Therefore quad BFDE is aparallelogram, since one pair of opposite sides are equal and parallel.


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