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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


  1. ii, iv

  2. i, ii, iii, iv

  3. i, ii

  4. All of them.


Solution

The correct option is B

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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