Question

State true or false:

In quadrilateral $ABCD$, diagonal $BD$ is bisected by the diagonal $AC$, then $\Delta ABC$ and $△ADC$ are equal in area.

• A. True
• B. False

Answer 1

The correct option is B False

Diagonal BD is bisected by diagonal AC at P
$\therefore BP=PD$
Also,
Area $△ABC=\frac{1}{2}\times BP\times AC$ and
Area $△ADC=\frac{1}{2}\times PD\times AC$
Now,
BP=PD
$\therefore$ Area $△ABC$=Area $△ADC$