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

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

Prove that each diagonal of a parallelogram divides it into two congruent triangles.

Show that the diagonals of a rhombus are perpendicular to each other.

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

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

In DeltaABC , D , E and F are respectively the midpoints of sides AB, BC and CA( see the given figure). Show that DeltaABC is devided into four congruent triangles by joining D, E and F.

Show that if the diagonals of a quadrilateral bisects each other at right angles. Then it is a rhombus.

Prove that the area of a rhombus is equal to half of the product of the diagonals.

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

Show that the diagonals of a square are equal and bisect each other at right angles.