Properties of Quadrilaterals

 

Properties of Quadrilaterals

Let us understand in a better way with the help of an example:



  • It has four sides: AB, BC, CD, and DA
  • It has four vertices: Points A, B, C, and D
  • It has four angles: ∠ABC, ∠BCD, ∠CDA, and ∠DAB
  • ∠A and ∠B are adjacent angles
  • ∠A and ∠C are the opposite angles
  • AB and CD are the opposite sides
  • AB and BC are the adjacent sides

A quadrilateral is a 4-sided plane figure. Below are some important properties of quadrilaterals :

  • Every quadrilateral has 4 vertices, 4 angles, and 4 sides
  • The total of its interior angles = 360 degrees

Square Properties

  • All the sides of the square are of equal measure
  • The sides are parallel to each other
  • All the interior angles of a square are at 90 degrees (i.e., right angle)
  • The diagonals of a square perpendicular bisect each other


Rectangle Properties

  • The opposite sides of a rectangle are of equal length
  • The opposite sides are parallel to each other
  • All the interior angles of a rectangle are 90 degrees.
  • The diagonals of a rectangle bisect each other.


Rhombus Properties

  • All the four sides of a rhombus are of the same measure
  • The opposite sides of the rhombus are parallel to each other
  • The opposite angles are of the same measure
  • The sum of any two adjacent angles of a rhombus is equal to 180 degrees
  • The diagonals perpendicularly bisect each other


Parallelogram Properties

  • The opposite side of the parallelogram are of the same length
  • The opposite sides are parallel to each other
  • The diagonals of a parallelogram bisect each other
  • The opposite angles are of equal measure
  • The sum of two adjacent angles of a parallelogram is equal to 180 degrees


Properties of Trapezium

  • Only one pair of the opposite side of a trapezium is parallel to each other
  • The two adjacent sides of a trapezium are supplementary (180 degrees)
  • The diagonals of a trapezium bisect each other in the same ratio


Properties of Kite

  • The pair of adjacent sides of a kite are of the same length
  • The largest diagonal of a kite bisect the smallest diagonal 
  • Only one pair of opposite angles are of the same measure.

A glance at the Quadrilateral Properties

Quadrilaterals and its properties

Sides and Angles of Quadrilaterals

Sides and anglesSquareRectangle Rhombus ParallelogramTrapezium
All sides are equalYesNoYesNoNo
Opposite sides are parallelYesYesYesYesYes
Opposite sides are equalYesYesYesYesNo
All the angles are of the same measureYesYesNoNoNo
Opposite angles are of equal measureYesYesYesYesNo
Diagonals bisect each otherYesYesYesYesNo
Two adjacent angles are supplementaryYesYesYesYesNo

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