Question

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

• A. i, ii, iii, iv
• B. ii, iv
• C. All of them.
• D. i, ii

Answer 1

The correct option is A

i, ii, iii, iv

• A parallelogram is a quadrilateral with opposite sides parallel and equal and its diagonals bisect each other.
• A rectangle is a parallelogram with all four interior angles fixed at 90°.
• A rhombus is a parallelogram with all four sides equal in length.
• A square is a parallelogram with all sides equal in length and all interior angles 90°.

Since, rectangle, rhombus and square are parallelograms, the diagonals bisect each other.

• Kite is a quadrilateral in which 2 pairs of adjacent sides are equal and its diagonals are of unequal length which intersects at ${90}^{\circ }$ but doesn't bisect each other.

Hence, diagonals do not bisect each other in a kite.