In the given figure, ABCD is a parallelogram and E is the midpoint of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.

In the given figure, ABCD is a ||gm and E is the mid-point of BC. Also, DE and AB when produced meet at F. Then.

In the given figure ABCD is a parallelogram. Prove that AB = 2BC.

In the given figure, ABCD is a square, M is the midpoint of AB and PQ_|_CM meets AD at P and CB produced at Q. Prove that (i) PA = QB and (ii) CP=AB+PA.

In the adjoining figure, ABCD is a parallelogram and E is the midpoint of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L. Prove that (i) AF=2DC, (ii) DF=2DL

In the given figure,ABCD is a quadrilateral in which AB|DC and P is the midpoint of BC. On producing,AP and DC meet at Q. Prove that (i) AB=CQ, (ii) DQ=DC+AB

In the given figure ABCD is a quadrilateral in which AB"||"DC and P is the midpoint of BC. On producing, AP and DC meet at Q. Prove that (i) AB = CQ, (ii) DQ = DC + AB.

In the given figure,ABCD is a parallelogram, in which is the mid-point of AD and O is a point on AC such that AO=(1)/(4)AC. When EO produced,meets AB at Frove that F is the mid-point of AB.

In Delta ABC,E is the midpoint of the median AD.BE produced meets AC at F. Prove that AF=((1)/(3))AC