Q10 The diagonals of a quadrilateral ABCD intersect each other at the point O such that
Show that ABCD is a trapezium.
Draw a line EF passing through point O such that
In , we have
So, by using basic proportionality theorem,
However, its is given that
Using equation 1 and 2 , we get
(By basic proportionality theorem)
Therefore, ABCD is a trapezium.