Home
Class 9
MATHS
Diagonals AC and BD of a quadrilateral ...

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.

Text Solution

Verified by Experts

The correct Answer is:
ABCD is a trapezium
Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 11.4|8 Videos

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 11.2|6 Videos

  • CIRCLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 12.6|4 Videos

Similar Questions

Explore conceptually related problems

The diagonals of a quadrilateral ABCD intersect each other at the point O such that (AO)/(BO) =(CO)/(DO) show that ABCD is a trapezium.

Diagonals AC and BD of a quadrilateral ABCD each other at P. Show that ar (APB) xx ar (CPD) =ar (APD) xx ar (BPC)

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD) xx ar (BPD). [Hint : From A and C, draw perpendiculars to BD.

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

In the given figure, diagonals AC and BD of quadrilateral ABCD interset at O such that OB = OD. If AB = CD, then show that : (i) ar (DOC) = ar (AOB) (ii) ar (DCB) = ar (ACB) (iii) DA || CB or ABCD is a parallelogram .

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

Diagonal AC of a parallelogram ABCD bisects A. Show that it bisects C also

Diagonal AC of a parallelogram ABCD bisects A. Show that ABCD is a rhombus.

D and E are points on sides AB and AC respectively of tirangle ABC such that ar (DBC) = ar (EBC) . Prove that DE || BC

D and E are points on sides AB and AC respectively of Delta ABC such that ar (DBC) = ar EBC). Prove that DE |\| BC.