Question

If a diagonal of a quadrilateral bisect both the angles, then it is a

• A. Kite
• B. Parallelogram
• C. Rhombus
• D. Rectangle

Answer 1

The correct option is C

Rhombus

Find the quadrilateral

Option $C$:

A rhombus is a special case of a parallelogram, with all sides of equal length and equal opposite angles. In a rhombus, the diagonal bisect each other at a right angle as well as bisect the angles of a rhombus.

Option $A$:

In a kite diagonals don't bisect each other and angles as well, so the kite is incorrect.

Option $B$:

Diagonals do bisect each other but not the angles.

Option $D$:

Diagonals do bisect each other at a right angle but do not bisect the angle.

Hence the correct option is $\mathrm{C}$.