Question

In order to be a rhombus, the adjacent sides of a parallelogram should be equal.

• A. True
• B. False

Answer 1

The correct option is A True

According to properties of parallelogram:

• Opposite sides of parallelogram are parallel and equal.
• Only opposite angles are equal.

Now, if $ABCD$ is a parallelogram then,
$AB=CD$ and $BC=DA$

Now, if adjacent sides are also equal i.e $AB=AD$
then $AB=BC=CD=DA$.


Now, figure ABCD has

• Four equal sides
• Equal opposite angles

Above two are properties of rhombus.

Hence, $ABCD$ is rhombus.
Therefore, given statement is true.