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 (Figure). Prove that F is the mid-point of BC.

ABCD is a trapezium in which AB | | DC, BD is a diagonal and E is the

1.	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 (Figure). Prove that F is the mid-point of BC.
Answer» 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 (Figure). Prove that F is the mid-point of BC.