Question

In the parallelogram ABCD, $\Delta AOB$ is congruent to

• A. $\Delta ABC$
• B. $\Delta AOC$
• C. $\Delta AOB$
• D. $\Delta COD$

Answer 1

The correct option is D

$\Delta COD$

AB = CD ($\because$ Opposite sides in a parallelogram are equal)

$\angle ABD$ = $\angle BDC$ (Alternate angles)

and OB = OD ($\because$ Diagonals of a parallelogram bisect each other)

$\therefore$ From SAS congruency we can say that $\Delta AOB$ is congruent to $\Delta COD$