If the diagonals `A C ,B D` of a quadrilateral `A B C D ,` intersect at `O ,` and seqarate the ...

This is the Solution of Question From RD SHARMA book of CLASS 9 CHAPTER AREAS OF PARALLELOGRAMS AND TRIANGLES This Question is also available in R S AGGARWAL book of CLASS 9 You can Find Solution of All Question From RD SHARMA and R S AGGARWAL book from class 6-12 on our app DOUBTNUT for Free

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==== QUESTION TEXT ====

If the diagonals `A C ,B D` of a quadrilateral `A B C D ,` intersect at `O ,` and seqarate the quadrilateral into four triangles of equal area, show that quadrilateral `A B C D` is a parallelogram. GIVEN : A quadrilateral `A B C D` such that its diagonals `A C` and `B D` intersect at `O` and separate it into four parts such that `a r( A O B)=a r( B O C)=a r( C O D)=a r( A O D)` TO PROVE : Quadrilateral `A B C D` is a parallelogram.

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