Question

If BDEF and FDCE are parallelograms, then show that D is equidistant to points B and C.

Answer 1

Since BDEF and FDCE are parallelograms,
BD = FE and DC = FE (Opposite sides of a parallelogram are equal)

From these, we can see that BD is equal to DC and hence, D is the mid-point of BC.
Since BDEF and FDCE are parallelograms,
BD = FE and DC = FE (Opposite sides of a parallelogram are equal)

From these, we can see that BD is equal to DC and hence, D is the mid-point of BC.