AB and CD are the parallel sides of a trapeziuml. E is the mid-point of AD. A line through E and parallel to side AB meets the line BC at point F. Prove that F is the mid-point of BC.

ABCD is a trapezium with AB || DC. E is midpoint of side AD. From point E a line is drawn parallel to AB that intersects BC at F. Show that F is midpoint of BC.

ABCD is a trapezium in which A B\ ||\ D C , 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 (see Fig. 8.30). Show that F is the mid-point of BC.

E is the mid-point of the side AD of the trapezium ABCD with AB||DC . A line through E drawn parallel to AB intersects BC at F. then

The diagonals AC and BD of a cyclic quadrilateral ABCD interest at right angles at E (figure). A line l drawn through E and perpendicular to AB meets CD at F. Prove that F is the mid-point of CD.

In Figure,ABCD isa trapezium in which side AB is a parallel to side DC and E is the mid- point of side AD. If F is a point on the side BC such that the segment EF is paralle side DC. Prove that F is the mid point of BC and EF=(1)/(2)(AB+DC)

In the figure ABCD is a trapezium in which side AB is parallel to side DC and E is the midpoint of side AD.If F is a point on the side BC such that the line segment EF is parallel to DC.Prove that Fis the mid-point of B BC and EF=(1)/(2)(AB+DC)

The line drawn through the mid-point of one side of a triangle, parallel to another side, intersects the third side at its mid-point.

. The line drawn through the mid-point of one side of a triangle; parallel to another side; intersects the third side at its mid-point.

The line joining the mid-points of two sides of a triangle is parallel to the third side.

E is the mid-point of the median AD of a DeltaABC . If B is extended it meets the side AC at F, then CF is equal to