**If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a**

**(a) parallelogram**

**(b) rhombus**

**(c) rectangle**

**(d) square**

**Solution:**

Diagonals of a quadrilateral PQRS bisect each other, then quadrilateral must be a parallelogram.

(∵ A rhombus, rectangle and square are also parallelogram)** (a)**

**If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a**

**(a) parallelogram**

**(b) rectangle**

**(c) rhombus**

**(d) square**

**Solution:**

Diagonals of quadrilateral PQRS bisect each other at right angles, then quadrilateral PQRS [ must be a rhombus.

(∵ Square is also a rhombus with each angle equal to 90°)** (c)**

**More Solutions:**

- Show that DAC=BCA
- Prove that the quadrilateral
- Find the size of each lettered angle in the Following Figures.
- Lettered angle in the following figures :
- If ∠ABC = 56°, find
- Find the lengths of its diagonals.
- Prove that ∠AEB is a right angle.
- Prove that the line segment
- Prove that the diagonals of a parallelogram.
- AD is median of ∆ABC and P.