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

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

ABCD is a parallelogram in which diagonals AC and BD intereset at O. If E, F, G and H are the mid points of AO, DO, CO and BO respectively, then the ratio of the perimeter of the quadrilateral EFGH to the perimeter of parallelogram ABCD is:

In the following figure, M is mid-point of BC of a parallelogram ABCD. DM intersects the diagonal AC at P and AB produced at E. Prove that : PE = 2 PD .

In parallelogram ABCD, diagonals AC and BD are equal. Find the measure of angle ABC and prove that the quadrilateral ABCD is a rectangle.

In parallelogram ABCD, diagonals AC and BD are equal. Find the measure of angle ABC and prove that the quadrilateral ABCD is a rectangle.

ABCD is a parallelogram. AC and BD are the diagonals intersect at O. P and Q are the points of tri section of the diagonal BD. Prove that CQ" ||" AP and also AC bisects PQ (see figure).

ABCD is a parallelogram. AC and BD are the diagonals intersect at O. P and Q are the points of tri section of the diagonal BD. Prove that CQ" ||" AP and also AC bisects PQ (see figure).

ABCD is a parallelogram. AC and BD are the diagonals intersect at O. P and Q are the points of tri section of the diagonal BD. Prove that CQ" ||" AP and also AC bisects PQ (see figure).