# By using the converse of bpt prove that the line joining the mid points of a non parallel sides of the trapezium are parallel to the parallel sides.

Dear Student,

We form our diagram , As :

Here , ABCD is a trapezium and AB  | | CD and by construction we form triangle ABE and M and N are mid points of non parallel sides AD and BC respectively .

In triangle ABE , AB  | | CD , So  by BPT we get

From Converse of BPT we get MN  | | AB , So

MN | | AB | | CD                                                           ( Hence proved )