The diagonals of a quadrilateral ABCD intersect each other at the point O such that AOBO=CODO. Show that ABCD is a trapezium.

The diagonals of a quadrilateral ABCD intersect each other at the poin

1.	The diagonals of a quadrilateral ABCD intersect each other at the point O such that AOBO=CODO. Show that ABCD is a trapezium.
Answer» The diagonals of a quadrilateral ABCD intersect each other at the point O such that $\frac{A O}{B O} = \frac{C O}{D O}$ . Show that ABCD is a trapezium.