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Types of Regular Polygon

A quadrilateral is special types of polygon which has four sides. Any quadrilateral has four sides ,four angles, four vertex. There are five types of regular polygon (quadrilateral). Trapezium, Parallelogram, Rhombus. Rectangle and Square. There is also a quadrilateral which has no regular shape that is known as only quadrilateral.

Trapezium

TRAPEZIUM: A quadrilateral which has exactly one pair of opposite sides as parallel is called trapezium. The following figures are of trapezium because in each figure one pair of opposite sides are parallel.

Types of Trapezium Examples

Parallelogram

PARALLOGRAM: A quadrilateral is a parallelogram if opposite sides are parallel. The following figure shows a parallelogram.

Parallelogram

In the above figure, quadrilateral is a parallelogram because AB?DC, AD?BC.

PROPERTIES OF A PARALELLOGRAM:

  • Opposite sides are equal. So AB =DC, AD = BC.
  • Opposite angles are equal. So LA=LC and LB=LD
  • Sum of adjacent angles are equal to 180o.
  • Diagonals are not equal in length. So AC $\ne$ BD.

Rhombus

RHOMBUS: A parallelogram having all sides are equal, called a rhombus. The following figure shows a rhombus.we use this in finidng area of

Rhombus

In the above figure, quadrilateral is a rhombus because AB = BC =CD = DA and. AB?DC, AD?BC.

Properties of A Rhombus:

  • All sides are equal. So. AB = BC =CD = DA
  • Opposite angles are equal. So LA=LC and LB=LD
  • Sum of adjacent angles are equal to 180o.
  • Diagonals are not equal in length. So AC $\ne$ BD.. But intersect each other at right angle. So LAOD = Right Angle.

Rectangle

RECTANGLE: A parallelogram having one angle equal to 90o, is called a rectangle.The following figure shows a rectangle.

Rectangle

In the above figure, quadrilateral is a rectangle because, AB =DC, AD = BC and. AB?DC, AD?BC.

PROPERTIES OF A RECTANGLE:

  • Opposite sides are equal. So. AB =DC, AD = BC.
  • All angles are equal and of 90o.
  • Sum of adjacent angles are equal to 180o.
  • Diagonals are equal in length. So AC = BD.

Square

SQUARE: A rhombus having one angle equal to 90o, called a square. The following figure shows a square.

Square

In the above figure, quadrilateral is a square because AB = BC =CD = DA and. LAOD = 90 degree and LADC = 90 degree.

PROPERTIES OF A SQUARE:

  • All sides are equal. So. AB = BC =CD = DA
  • All angles are equal.
  • Sum of adjacent angles are equal to 180o.
  • Diagonals are equal in length. So AC= BD. and intersect each other at right angle. So LAOD = 90 degree

Kite

KITE: A quadrilateral is a kite if its one both pairs of adjacent sides are unequal. The following figure shows a kite.

Kite


In the above figure, quadrilateral is a kite because AB $\ne$ BC and AD $\ne$ DC.

PROPERTIES OF A KITE:

  • Two pair of adjacent sides are equal. So AD =AB, DC = BC.