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

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

Prove by vector method that the diagonals of a rhombus bisect each other at right angles.

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.

Diagonal of which of the following quadrilaterals do not bisect it two congruent triangles ?

If the diagonal of a rhombus are equal, then the rhombus is a