Question

If the diagonals of a quadrilateral divide each other proportionally, prove that it is a trapezium​

Answer 1

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.