Diagonal PR and QS of quadrilateral PQRS intersects at T such that PT= TR and PS= QR, show that ar `(Delta PTS) =" ar "(Delta RTQ)`

In the figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that ar( Delta DOC) = ar( Delta AOB)

In the figur e, diagonals AC and BD of quadrilateral A BCD intersect at 0 such that OB = OD. If AB = CD, then show that ar( Delta DCB) = ar( Delta ACB)

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar( Delta AOD) = ar( Delta BOC). Prove that ABCD is a trapezium.

ABCD is a parallelogram whose diagonals AC and BD intersect at O. A line through O intersects AB at P and DC at Q. Prove that ar (Delta POA) =" ar "(Delta QOC) .

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD)=ar(BOC). Prove that ABCD is a trapezium.

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect at O. If BO = OD , prove that ar(triangleABC)=ar(triangleADC) .

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar( Delta AOD) = ar( Delta BOC).

If PS is median of the triangle PQR, then ar( Delta PQS): ar( Delta QRP) is

In the figure, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, show that ar( Delta BPC) = ar( Delta DPQ).

In the given figure, S and T are points on sides PR and QR of Delta PQR such that angle P= angle RTS . Show that Delta RPQ~ Delta RTS .