In Fig. 8, ABCD is a trapezium in which AB || DC. BD is a diagonal and E is the mid-point of AD. A line is drawn through E, parallel to AB, intersecting BC at F. Show that F is the mid-point of BC.

In Fig. 8, ABCD is a trapezium in which AB || DC. BD is a diagonal and

1.	In Fig. 8, ABCD is a trapezium in which AB \|\| DC. BD is a diagonal and E is the mid-point of AD. A line is drawn through E, parallel to AB, intersecting BC at F. Show that F is the mid-point of BC.
Answer» In Fig. 8, ABCD is a trapezium in which AB \|\| DC. BD is a diagonal and E is the mid-point of AD. A line is drawn through E, parallel to AB, intersecting BC at F. Show that F is the mid-point of BC.