Question

State true or false:

If all angles of a quadrilateral are equal, then it is a parallelogram

• A. True
• B. False

Answer 1

The correct option is B False

False,
If all angles of a quadrilateral are equal, it is a rectangle.
Given, $ABCD$ is a quadrilateral
$\angle A=\angle B=\angle C=\angle D$
Now, we know,
$\angle A+\angle B+\angle C+\angle D=360$
$=>\angle A=90$
$\angle A=\angle B=\angle C=\angle D=90$
Thus, all angles are right angles.
Thus, $ABCD$ is a rectangle.