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

Prove that two diagonals of a parallelogram divides it into four triangles of equal areas.

Show that the diagonals of a rhombus divide it into four congruent triangles.

Show that the diagonals of a rhombus divide it four congruent triangles.

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

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

Show that the diagonals of a square are equal and right bisectors of each other.

The diagonal SQ of the parallelogram PQRS is divided into three equal parts at K and L . PK intersect SR at M and RL intersect PQ at N . Prove that PMRN is a parallelogram.

Prove that if the lengths of the two diagonals of a parallelogram be equal , then the parallelogram is a rectangle.

Using vector method show that the diagonals of a parallelogram bisect each other.

Prove that if the two diagonals of any parallelogram intersect each other orthogonally, then the parallelogram is a rhombus.