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`.

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

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

Given : In trapezium PQRS, side PQ abs() SR, AR = 5 AP, AS = 5 AQ, then prove that SR=5 PQ.

In a parallelograms PQRS, M and N are points on PQ and RS such that PM = RN. Prove that MS || NQ.

In a trapezium PQRS, PQ||SR and PQ= 2 SR. if the diagonals intersect at O and area of trianglePOQ = 96 cm^(2) , find th area of triangleSOR .

Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQ abs() RS and PQ=3 RS. Find the ratio of the areas of DeltaPOQ and DeltaROS .

In trapezium PQRS , side PQ|| side SR , AR=5AP , AS=5AQ then prove that SR=5PQ by completing the following activity. In DeltaPQA and DeltaRSA , /_PQA~=/_RSA ……( square ) /_PAQ~=/_RAS ....( square ) :.DeltaPQA~DeltaRSA ......( square ) (PQ)/(SR)=(square)/(AR) .........(Corresponding sides of similar triangles)..... (1) Substituting AR=5AP in (1) :.(PQ)/(SR)=(square)/(5AP) :.(PQ)/(SR)=(square)/(5) :.SR=5PQ

Side of a square PQRS is 4 cm long . overline PR is proudced to the point M such that PR=2RM . Find SM.

Side of a square PQRS is 4cm long.bar(PR) is pro- duced to the point M such that PR=2RM Find SM.

In trapezium PQRS, PQ || SR and the ratio of PQ to SR is 3:2. If the area of the trapezium is 480 cm^(2) and the distance between PQ and SR is 12 cm, then the length of SR is