Learn Class 11 Math - Quadrilaterals

Quadrilaterals can be defined as four-sided polygons which consist of four angles Within themselves.

Quadrilaterals can be of several types depending upon the specificity of these sides, angles, and diagonally.

Types of Quadrilaterals

The following six quadrilaterals exist:

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

Properties of Quadrilateral

  • Rectangle: Opposite sides are equal to each other. All four angles are right angles. Diagonals are equal to each other.
  • Square: There is equality between all four sides. All the angles are 90°. Diagonal equal to each other.
  • Parallelogram: Opposite sides are equal to each other, opposite angles are equal. Diagonals are not equal to each other.
  • Parallelograms: opposite sides are equal to each other. Diagonals intersect each other at right angles. Diagonals are not equal to each other.
  • Trapezium: Only one of the two opposite sides pairs are equal to each other
  • Kite: Two pairs of the adjacent sides are of equal length.

Formulae:

Area of the quadrilateral:

½ × height between the parallel sides × (sum of the parallel sides)

The perimeter of the quadrilateral:

Side 1 + side 2 + side 3 + side 4 = perimeter of the quadrilateral.