QUADRILATERALS | SUFFICIENT CONDITION FOR A QUADRILATERAL TO BE A PARALLELOGRAM,

If each diagonal of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram. GIVEN : A quadrilateral A B C D such that its diagonals A C and B D are such that a r( A B D)=a r( C D B ) and a r( A B C)=a r( A C D)dot TO PROVE: Quadrilateral A B C D is a parallelogram.

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.

Discussion OF Exercise-2|| Condition OF Three points be collinear|| Area OF trapezium|| Parallelogram|| Triangle || Plotting Trapezium||Rectangle||Square||Quadrilateral|| Summary

Point E and F lie on diagonals AC of a parallelogram ABCD such that AE=CF What type of quadrilateral is BFDE?

Introduction|Quadrilaterals|Types Of Quadrilaterals|Properties Of A Parallelogram|Theorem|OMR

Types Of Quadrilaterals|Elements Of A Parallelogram|Properties Of A Parallelogram|Question Practice|OMR

Types Of Quadrilaterals|Elements Of A Parallelogram|Properties Of A Parallelogram|Question Practice|OMR

ABCD is a quadrilateral in which AB=CD and AD=BC. show that it is a parallelogram.