Home
Class 9
MATHS
The diagonals of quadrilateral ABCD, AC ...

The diagonals of quadrilateral ABCD, AC and BD intersects at O. Prove that if BO = OD then the triangles ABC and ADC are equal in area.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise SOLVED EXAMPLES|14 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION ( EXERCISE 9.1)|1 Videos
  • CIRCLES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER |6 Videos

Similar Questions

Explore conceptually related problems

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) .

The diagonals AC and BD of a quadrilateral ABCD intersect at point 'O'. If BO = OD, then prove that the areas of Delta ABC and Delta ADC are equal

In quadrilateral ABCD, BA = BC and DA = DC. Prove that BD bisects angle ABC as well as angle ADC.

If ABCD is a quadrilateral whose diagonals AC and BD intersect at O, then

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)

diagonal of a cocyclic parallelogram ABCD is AC and BD intersection at point R .then

If the diagonals AC,BD of a quadrilateral ABCD, intersect at O, and separate the quadrilateral into four triangles of equal area, show that quadrilateral ABCD is a parallelogram.

In Fig 9.25 ,diagonals AC and BD of quadrilateral ABCD intersect at O such that OB= OD.If AB=CD, then show that

In the figure, diagonals AC and BD of quadrilateral ABCD intersect at 0 such that OB = OD. If AB = CD, then show that DA I I CB or ABCD is a parallelogram.

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)