If the diagonals of a quadrilateral bisect each other at right angles but are unequal, the quadrilateral is a:

If the diagonals of a quadrilateral bisect each other at right angles but are unequal, the quadrilateral is a:
  1. Rectangle
  2. Square
  3. Rhombus
  4. Trapezium

Solution

Diagonals bisecting each other at right angles characterise a rhombus. They would also be equal only if it were a square.

Asked in: IMO

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