If each diagonals of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is 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 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 each diagonal of a quadrilateral separated it into two triangles of equal area, then show that quadrilateral is a parallelogram.

A diagonal of a parallelogram divides it into two triangles of equal area.

Prove that if each diagonal of a quadrilateral bisects it into two triangles of equal areas, then it is a parallelogram.

Prove that A diagonal of a parallelogram divides it into two triangles of equal area.

A diagonal of parallelogram divides it into four triangles of equal area.

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.