Quadrilaterals: In the world of mathematics, shapes and objects can be perfectly classified depending upon several sides with each other. The triangles will always have three sides, the quadrilateral will always have four sides, the Pentagon will always have five sides, the hexagon will always have six sides, the octagon will always have eight sides and several other kinds of things can be perfectly undertaken in the world of mathematics. The quadrilateral is considered to be the plane figure that will have four sides or edges and will have four corners or vertices. These kinds of shapes will be typical of standard shapes with four sides like rectangle, trapezoid, square, kite or several other kinds of options.

Following are the basic types of quadrilaterals in the world of mathematics:

These can be categorised into:

  • Parallelogram
  • Square
  • Rectangle
  • Kite
  • Rhombus
  • Trapezium and many other options

Another way of classification these types of quadrilaterals are:

The convex quadrilaterals in which both of the diagonals will be completely contained within the figure

The concave quadrilateral is in which both of the diagonals will live partly entirely outside the figure

The formulas associated with the quadrilateral in terms of area of different types of shapes have been explained as follows:

  1. Area of parallelogram will always be base on height
  2. The area of the rectangle will always be length into width
  3. The area of the square will always be the length of the side into the side
  4. Area of rhombus will always be half into diagonal one into diagonal two
  5. The area of a kite will always be the same as the rhombus

In the cases of the perimeter of the quadrilateral it is considered to be the total distance covered by the boundary of the two-dimensional shape and has been explained as follows:

  1. The perimeter of the square will be four into the side
  2. The perimeter of the rectangle will be two in length plus the breadth
  3. The perimeter of the parallelogram will be two into the base plus side
  4. The perimeter of the rhombus will be four into the side
  5. The perimeter of the kite will be two into A+ B where A and B are the adjacent pairs.

Following are some of the basic properties of the quadrilaterals depending upon the categories:

  • In the cases of squares, all sides will be of equal measure and all sides will be parallel to each other. Every interior angle of the square will be 90° and the diagonals will bisect each other. Hence, registering the kids on platforms like Cuemath is a very good idea so that they become very much clear about quadrilaterals and Pentagon shape without any kind of a hassle because they will be taught by experts over there.
  • In the cases of the rectangle, the opposite sides will be of equal length and opposite sides will also be parallel. All the angles will be 90° and diagonals will bisect each other.
  • In the cases of a rhombus, all four sides of the rhombus are parallel to each other and opposite sides will be parallel to each other. The opposite angles are always of the same measure.
  • The sum of any towards the sun angles of the rhombus will be equal to 180° and diagonals will be perpendicular bisector each other.
  • In the case of a parallelogram, the opposite sides will be of the same length, the opposite sides will be parallel to each other. The diagonals of the parallelogram will bisect each other in opposite angles will be of equal measure. The sum of two adjacent angles of the parallelogram will be equal to 180°.
  • In the cases of trapezium, only one pair of the opposite side will be parallel to each other and two adjacent sides will be supplementary. The diagonals of the trapezium will also bisect each other into the same ratio.
  • In the cases of kites, the pair of adjacent angles are of the same length and the largest diagonal will bisect the smallest diagonal. Only one pair of the opposite angles will be of the same measure.

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