Quadrilaterals · Class 9 · CBSE Mathematics

If the diagonals of a quadrilateral bisect each other at right angles, then the quadrilateral is necessarily a:

Practice question from Quadrilaterals (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-1EE6F2

If the diagonals of a quadrilateral bisect each other at right angles, then the quadrilateral is necessarily a:

  1. A.Rectangle
  2. B.RhombusCorrect answer
  3. C.Kite
  4. D.Trapezium

Solution

A quadrilateral whose diagonals bisect each other is a parallelogram. Furthermore, if the diagonals intersect at right angles (90∘90^\circ), all its sides are equal, making it a rhombus.

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