Question

If $AB//DC$ and $P$ is the mid-point of $BD$, then" $P$ is also the mid-point of $AC$." that statement is ?

• A. True
• B. False

Answer 1

The correct option is A True

Given:$AB||CD$, $P$ is midpoint of $AC$.

Here $DP=BP$

$⟹\angle DCP=\angle BAP$ and

$\angle DPC=\angle APB$

$DP=BP$

$\therefore \Delta DPC\cong \Delta APB$

$\therefore \angle CDP=\angle PBA$

$⟹AP=PC$

Therefore $P$ is midpoint of $AC$.