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How to have a good command of the technicalities of a parallelogram?

Parallelogram - Wikipedia

A parallelogram is known as the two-dimensional shape in the world of mathematics whose sides are parallel to each other and this is considered to be the best possible type of polygon having four sides where the pair of the parallel side will be equal in terms of length. The sum of the adjacent angles of the parallelogram will always be equal to 180° and in the world of mathematics, it is very much important for people to be clear about the basic differences between the two-dimensional shapes and the three-dimensional shapes.

There are some of the specific types of parallelograms available in the mathematical world as well and they have been explained as follows:

  1. Square and rectangle are considered to be the best possible type of parallelogram which will be having similar properties. Both of them will be having opposite sides equal and parallel to each other and diagonals of both the shapes will be bisecting each other.
  2. Rhombus is the type of parallelogram in which all the sides will be congruent or equal to each other.
  3. Rhomboid is the best possible category of the parallelogram which will be having the opposite sides parallel to each other but adjacent sides will be of unequal length and the angles will be equal to 90°.
  4. The trapezium is the case of a parallelogram in which there will be one parallel side and the other two sides are non-parallel.

The very basic properties of the parallelogram have been significantly explained as follows:

  1. The opposite sides are parallel as well as congruent
  2. Opposite angles are congruent
  3. Consecutive angles are supplementary
  4. If any of the angles is a right angle then all the other angles will be a right angle
  5. Two diagonals will be bisecting each other
  6. Every diagonal will be bisecting the parallelogram into congruent triangles
  7. The sum of the square of all the sides of the parallelogram will be equal to the sum of the square of the diagonals and this is known as the law of parallelogram.

The basic formulas associated with the shape of a parallelogram have been explained as follows:

  1. The area of a parallelogram is the region occupied by it in the two-dimensional plane and the basic formula over here will be base into height.
  2. The perimeter of a parallelogram is the total distance covered around the shape of the total length of any kind of shape. Hence, the basic formula overhead will be two into the sum of sides units.
  1. It is very much important for people to be clear about the basic definitions and differences of different kinds of shapes and parallelograms in this particular case to avoid any kind of chaos.

 The basic difference between the parallelogram and rhombus has been explained as follows:

  1. The quadrilateral that has opposite sides equal and parallel is known as the parallelogram and on the other hand, a rhombus is a quadrilateral that will be having all of the sides congruent.
  2. The parallelogram will be having the diagonals that will be bisecting each other and on the other hand, rhombus will be having the diagonals that will bisect each other at 90°
  3. Opposite angles of the parallelogram will be of equal measure and all four angles of the rhombus will be of equal measure.

Hence, to have a basic hold over the concepts of area of parallelogram and other associated things it is very much important for people to be clear about the basic classes from the house of Cuemath. In this way, everybody will be on the right track of dealing with the things because the doubt solving classes undertaken by the experts over here will be very much successful in terms of providing people with a crystal clear idea about the basic technicalities so that everybody can score well in the maths exam.