Question

State true or false:

In the given figure, $AP$ is bisector of $\angle A$ and $CQ$ is bisector of $\angle C$ of parallelogram $ABCD$, then

$APCQ$ is a parallelogram

• A. True
• B. False

Answer 1

The correct option is A True

We know that opposite angles of a parallelogram are equal in measures.

Here, $\angle A$ and $\angle C$ are opposite angles.

Hence bisector of these angles are parallel to each other.

So APQC is a parallelogram.

Hence, the given statement is true.