ABCD is a parallelogram. The diagonal AC and BD intersect at a point O . If E,F,G,H, are the mid points of AO, DO, CO, BO respectively, then the ratio of (EF+FG+GH+HE) to (AD+DC+CB+BA) is:

. Given: Parallelogram ABCD in which diagonals AC and CD intersect at M. Prove: M is mid-point of LN.

ABCD is a quadrilateral in which AD = BC. E, F, G and H are the mid-points of AB, BD, CD and AC respectively. Prove that EFGH is a rhombus.

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 quadrilateral in which AB=AD . The bisector of BAC and CAD intersect the sides BC and CD at the points E and F respectively. Prove that EF||BD.

In trapezium ABCD, side AB is parallel to side DC. Diagonals AC and BD intersect at point P. Prove that triangles APD and BPC are equal in area.

In quadrilateral ABCD, diagonals AC and BD intersect at point E such that AE : EC = BE : ED . Show that : ABCD is a trapezium.

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).

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: OA xx OD = OB xx OC .

ABCD is a rhombus. Its diagonals AC and BD intersect at the point M and satisfy BD = 2AC .If he point D and M represent the complex numbers 1 + i and 2 - i respectively, then A represents the complex number......or......

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: DeltaAOB is similar to DeltaCOD .