In a parallelogram ABCD, points P and Q are points of trisection of diagonal BD. Prove that CQ is parallel to AP.

In a parallelogram ABCD, X and Y are points on diagonal BD such that DX=BY. Prove that AXCY is a parallelogram.

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ. Show that APCQ is a parallelogram.

P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP.

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ AP=CQ

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).

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).

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ Show that:AQ=CP

M and N are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CN is parallel to AM.