Question:
In the figure, it is given that BDEF and FDCE are parallelogram. Can you say that BD = CD? Why or why not?
Solution:
Yes, in the given figure, BDEF is a parallelogram..
∴ BD || EF and BD = EF …(i)
Also, FDCE is a parallelogram.
∴ CD||EF
and CD = EF …(ii)
From Eqs. (i) and (ii), BD = CD = EF