In trapezium `PQRS`,side `PQ||` side`SR`. Diagonals `PR` and `QS` intersect each other at point `M`. `PQ=2RS`. Prove that `PM=2RM` and `QM=2SM`.

Diagonals PR and QS of a quadrilateral PQRS intersect each other at O. Prove that PR + QR + RS + SP

Diagonals PR and QS of a quadrilateral PQRS intersect each other at O. Prove that PR + QR + RS + SP

Kamala have drawn a trapezium PQRS of which PQ||SR . If the diagonals PR and QS intersect each other at O , then prove that OP:OR=OQ:OS , If SR=2PQ , then prove that O is a point of trisection of both the diagonals.

In a trapezium ABCD, side AB is parallel to side DC, and the diagonals AC and BD intersect each other at point P. Prove that : DeltaAPB is similar to DeltaCPD .

In trapezium PQRS , side PQ|| side SR. AR= 5 AP and AS = 5AQ. Prove that : SR = 5PQ

PQRS is cyclic quadrilateral. Extended PQ and SR intersect each other at A . Prove that AP.AQ=AR.AS .

In trapezium PQRS , PQ||SR . If PQ=4 units , SR=6 units . If the diagonals of the trapezium intersect each other at the points C , then find the ratio CQ:CS .

Given : In trapezium PQRS, side PQ || side SR,AR=5AP, AS =5AQ then prove that, SR=5PQ

In fig. PQRS is a quadrilateral in which diagonals PR and QS intersect at O Show that: PQ+QR+RS+SP>PR+QS

In fig. PQRS is a quadrilateral in which diagonals PR and QS intersect at O Show that: PQ+QR+RS+SP<2(PR+QS)