In Figure, it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD? Why or why not?
Given: BDEF and FDCE are parallelograms.
If BDEF is a parallelogram then
and BD = EF …..(1)
Also if FDCE is a parallelogram then
and CD = EF …..(2)
From equations 1 and 2, we get
BD = CD = EF
Hence given statement is True.