What Are the Very Basic Properties of the Rhombus Figure

In the world of mathematics, a rhombus is considered to be one of the most common types of quadrilateral and it is a special case of a parallelogram whose diagonals will be intersecting each other at 90°. This is known as the very basic property of the rhombus and the shape of the rhombus will always be of the diamond. Hence, it can also be termed as the diamond of the world of mathematics.

It is very much important for the people to be clear about the basic definition of the quadrilateral which will be the polygon that will contain four sides and four corners along with four angles. The sum of the interior angles of the quadrilateral will always be equal to 360° and the following are the basic types of quadrilaterals in the world of mathematics:

  • Rhombus
  • Rectangle
  • Kite
  • Square
  • Parallelogram
  • Trapezium

Rhombus is the special case of the parallelogram which is considered to be the four-sided quadrilateral and in this opposite sides will be parallel and opposite sides will also be equal. All sides of the rhombus will be equal in length and diagonals will be bisecting each other at right angles. This will be known as the diamond and in the plural form, it can be considered as the rhombuses.

Rhombus has all sides equal and similarly with the square which also has all sides equal. But the diagonals of the square will be perpendicular to each other and will be bisecting each other at opposite angles as well. Hence, the square can also be considered as a type of rhombus itself. Following are some of the very basic facts associated with the angles of the rhombus:

  1. Rhombus will be having four interior angles
  2. The sum of the interior angles of the rhombus will add up to 360°
  3. The opposite angles of the rhombus will be equal to each other
  4. Adjacent angles will be supplementary
  5. In the rhombus, diagonals will be bisecting each other at right angles
  6. Diagonals of the rhombus will be bisecting the angles as well.

Following are the basic formulas associated with the rhombus shape:

  • Area of the rhombus: The area of a rhombus is the region covered by it into the two-dimensional plane and the formula for the area has been defined as follows:

Diagonal 1 into diagonal 2/2 square units

  • The perimeter of rhombus: This can be considered as the total length of all the boundaries for one can simply state it as the sum of all the four sides of the rhombus into the perimeter. The perimeter formula is known as the four into the side of the rhombus units.

Following are the most important properties of the rhombus shape which everybody should know:

  • Every side of the rhombus will be equal
  • Opposite sides of the rhombus will be parallel
  • Opposite angles of the rhombus will be equal
  • Diagonals will be bisecting each other at right angles in the rhombus
  • Diagonals will be bisecting the angles of a rhombus
  • Two diagonals of the rhombus will always form the right angle triangle that will be congruent to each other
  • People will get a rectangle whenever they will join the midpoint of the sides
  • People will also get another rhombus whenever the midpoint of the half of the diagonal will be joined with each other
  • There will be no circumscribing circle across the rhombus
  • Within the rhombus, there will be no inscribing circle
  • The shorter diagonal is equal to the sides of the rhombus and two congruent triangles will also be found with the help of this particular system.

Hence, it is very much important for people to be clear about the basic properties of parallelogram as well as rhombus so that they can implement the right formulas. Further, depending upon platforms like Cuemath is the best way of ensuring that people have a good command over the entire thing without any kind of problem.