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Question

# In which of the following quadrilaterals, diagonals bisect each other? i) Parallelogram ii) Rhombus iii) Rectangle iv) Square v) Kite

A

i, ii

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B

ii, iv

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C

i, ii, iii, iv

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D

All of them.

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Solution

## The correct option is C 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∘ but doesn't bisect each other. Hence, diagonals do not bisect each other in a kite.

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