Rhombus – Definition – Properties

Definition:

A rhombus is a quadrilateral (closed shape, plane figure) with four straight sides that are equal length also opposite sides are parallel and opposite angles are equal.

A rhombuses is a type of parallelogram.

All rhombuses are parallelograms, but not all parallelograms are rhombuses. 

All squares are rhombuses, but not all rhombuses are squares.

A rhombuses have three additional names

1. Rhomb

2. Lozenge

3. Diamond or Rhombus diamond

                  Properties of rhombus

Important properties of rhombus are given below

1. All sides of the rhombus are equal.

2. Opposite sides of a rhombus are parallel.

3. Opposite interior angles of a rhombus are equal.

4. In a rhombus, diagonals are perpendicular bisectors of each other, or diagonals bisect each other at right angles.

5. The sum of two adjacent angles in a rhombus is equal to 180 degree.

6. In a rhombus, diagonals bisect the angles of rhombus.

7. Two diagonals of a rhombus form four right angled triangles which are congruent to each other.

8. Join the mid points of the sides we will get a rectangle.

9. When we join the midpoints of half the diagonal we will get another rhombus.

10. When one of the sides of a rhombus is equal to the shorter diagonal, two congruent equilateral triangles are formed.

11. There can be no circumscribing circle around a rhombus.

12. When midpoints of the four sides are joined together we will get a rectangle and the length and the width of the rectangle will be half the value of the main diagonal, so that area of the rectangle will be half of the rhombus.