37 Maths -- Geometry: Area of Triangles and Quadrilaterals

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

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

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