Mathematics

If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a

  1. parallelogram

  2. rectangle

  3. rhombus

  4. square

Rectilinear Figures

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Answer

Diagonals of square and rhombus bisect each other at 90°.

Since, each square is a rhombus but not vice-versa.

Hence, if the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a rhombus.

Hence, Option 3 is the correct option.

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