Question

In $△$ABC, BDEF and FDCE are parallelogram. Which of the following is correct?

• A. AB = EF
• B. DB = AB
• C. ED $\ne$ BF
• D. BD = CD

Answer 1

The correct option is D BD = CD

BDEF & FDCD are parallelogram
BF || DE, BF || DE, & FD || CE & CD || FE
$\angle BDF=\angle EFD,$ & $\angle DFE=\angle DCE$
$\angle FBD=\angle FED$ & $\angle FED=\angle FED=\frac{1}{2}\angle FDC$ (parallelogram purpose)
$△FDB$ & $△EDC$ are circular and conguent triangles.
$\because BD=BC$