Show that the diagonals of a parallelogram divide it into four triangles of equal area.

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

A diagonal of parallelogram divides it into two congruent triangles.

Show that : (i) a diagonal divides a parallelogram into two triangles of equal area. (ii) the ratio of the areas of two triangles of the same height is equal to the ratio of their bases. (iii) the ratio of the areas of two triangles on the same base is equal to the ratio of their heights.

Show that a median of a triangle divides it into two triangles of equal areas.

Show that a median of a triangle divides it into two triangles of equal area.

The diagonals of a parallelogram bisect each other.

The diagonal AC of a quadrilateral ABCD divides it into two triangles of equal areas. Prove that diagonal AC bisects the diagonal BD.

If the two diagonals of a parallelogram are equal, it is a rectangle.

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

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