Question

State true or false:

In quadrilateral ABCD, the diagonals AC and BD intersect each at point O. If $AO=2CO$ and $BO=2DO$; Then, $OA\times OD=OB\times OC$.

• A. True
• B. False

Answer 1

The correct option is A True

Given: $AO=2CO$

or, $\frac{AO}{CO}=2$
and $BO=2DO$

or, $\frac{BO}{DO}=2$
Hence, $\frac{OA}{OC}=\frac{OB}{OD}$
$OA\times OD=OB\times OC$