If the diagonals of a quadrilateral divide each other proportionally, prove that it is a trapezium
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Trapezium (USA definition)
It has no parallel sides. Any quadrilateral drawn at random would probably be a trapezium. Since it has no interesting properties beyond those of a quadrilateral, it is not used much in geometry. If the quadrilateral had one pair of parallel sides, it would be a trapezoid.
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