`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.`

A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n d\ C D respectively. G H is any line intersecting A D ,\ E F\ a n d\ B C at G ,\ P\ a n d\ H respectively. Prove that G P=P H

A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n d\ C D respectively. G H is any line intersecting A D ,\ E F\ a n d\ B C at G ,\ P\ a n d\ H respectively. Prove that G P=P H

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

ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [CD] respectively, show that vec AP + vec AQ=

ABCD is a parallelogram. E and F are mid-point of side AB and CD respectively. AF and CE intersect diagonal BD at P & Q respectively. If BD = 15 cm, find PQ.

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

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 AB and CD respectively. Show that the line segments AF and EC trisect the diagonal BD.