In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Show that the line segments AF and EC trisect the diagonal BD.

In a parallelogram ABCD, E and F are the mid-points of sides BC and AD respectively. Show that the line segment BF and ED trisect the diagonal AC.

In Figure,ABCD is a parallelogram.E and F are the mid-points of the sides AB and CD respectively.Prov that the line segments AF and CE triset (divide into three equal parts) the diagonal BD.

In Figure, A B C D is a parallelogram. E\ a n d\ F are the mid-points of the sides A B\ a n d\ C D respectively. Prove that the line segments A F\ a n d\ C E trisect (divide into three equal parts) the diagonal B D .

E and F are the mid-points of the sides AB and CD of a parallelogram ABCD. Prove that the line segment AF and CE trisects BD in three equal parts.

In a parallelogram ABCD, points E and F are respectively midpoint of sides AB and CD (see the adjacent figure). Prove that line segment AF and EC trisect diagonal BD.

In a trapezium ABCD, if E and F be the mid-points of diagonal AC and BD respectively. Prove that EF=1/2(AB-CD).

ABCD is a trapezium, in which AD||BC, E and F are the mid-points of AB and CD respectively, then EF is:

ABCD is a parallelogram,E and F are the mid-points of AB and CD respectively.GH is any line intersecting AD, EF and BC at G,P and H respectively.Prove that GP=PH