In the figure, E is the mid-point of side AD of a trapezium ABCD with AB  CD. A line through E parallel to AB meets BC in F. Show that F is the mid point of BC.



Asked by Topperlearning User | 11th Aug, 2017, 11:56: AM

Expert Answer:

Join AC to intersect EF at G.
EF  DC         EG  DC
E is the mid point of AD and EG  DC
G is the mid point of AC                   (By converse of mid point theorem)
In ABC, FG  AB and G is the mid point of AC
 F is the mid point of BC.

Answered by  | 11th Aug, 2017, 01:56: PM