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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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