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Question

If the diagonals of a quadrilateral bisect each other at 90, then the quadrilateral is a 


  1. Square

  2. Rectangle

  3. Rhombus

  4. Parallelogram


Solution

The correct option is C

Rhombus


In case of rectangle and parallelogram the diagonals bisect each other but not at 90

In case of a rhombus and square, the diagonals bisect each other at 90.

As we do not know the measure of the interior angle, we conclude the required quadrilateral is a rhombus.

Note: All squares are rhombuses and all rhombuses are not squares.

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