Question

The quadrilateral formed by joining the mid-points of the adjacent sides of a Quadrilateral $PQRS$, taken in order, is a rhombus, if

• A. $PQRS$ is a rhombus
• B. $PQRS$ is a parallelogram
• C. diagonals of $PQRS$ are perpendicular
• D. diagonals of $PQRS$ are equal.

Answer 1

Answer: (D)

diagonals of $PQRS$ are equal.

Diagonals of rectangle PQRS are equal :

$\Rightarrow$ In rhombus,the intersection of diagonals form ${90}^o$ angles or right angles.

This means they are perpendicular and they bisect each other in half.

Therefore, diagonals are equal in length.