Home
Class 9
MATHS
In the given figure, diagonals AC and B...

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 .

Text Solution

Verified by Experts

The correct Answer is:
ABCD a parallelogram
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

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.

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.

In the given figure, ABC and ABD are two triangles on the same base AB . If line - segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD)

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

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

In the Given figure, E is any point on median AD of a triangle ABC Show that ar (ABE) = ar (ACE)

In the figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar (ACB) = ar (ACF) (ii) ar (AEDF) = ar (ABCDE)