Properties of Quadrilaterals-Square-Rectangles-Parallelograms

Properties of Quadrilaterals

A quadrilateral is a polygon with four sides. Quadrilaterals can be classified into several types based on their properties. Here are the properties of some common quadrilaterals:

 

quadrilateral

Square:

  • All sides are equal in length.
  • All angles are right angles (90 degrees).
  • The diagonals are perpendicular and bisect each other.

Rectangle:

  • All sides are equal in length.
  • Opposite angles are equal.
  • The diagonals are perpendicular and bisect each other.

 

Rhombus:

  • All sides are equal in length.
  • Opposite angles are equal.
  • The diagonals are perpendicular.

Trapezoid:

  • Two sides are parallel and the other two sides are not parallel.
  • The angles between the parallel sides are equal.
trapezoid
quadrilateral

Parallelogram:

  • Both pairs of opposite sides are parallel and equal in length.
  • The opposite angles are equal.
  • The diagonals bisect each other.

Kite:

  • Two pairs of adjacent sides are equal in length.
  • The opposite angles are equal.
  • The diagonals are perpendicular.

In summary, a quadrilateral is a polygon with four sides.