Math Guide

Quadrilaterals and other polygons

Introduction:


              A Quadrilateral is a polygon with four sides and four vertices or corners. The word quadrilateral is made of the words quad (meaning "four") and lateral (meaning "of sides"). Quadrilaterals are simple or complex, also called crossed. Simple quadrilaterals are either convex or concave. A Polygon is traditionally a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments. The interior of the polygon is sometimes called its body.


Types of quadrilaterals on quadrilaterals and other polygons


Rhombus:

Rhombus

             ABCD is a parallelogram with a pair of adjacent sides AB and CD are equal. This type of parallelogram is called a Rhombus. The parallelogramin which pair of adjacent sides are equal is called a Rhombus. In otherwords, a rhombus is a quadrilateral in which opposite sides are parallel, and a pair of adjacent sides equal. Every rhombus is a parallelogram but the converse is not a parallelogram.

Rectangle:

Rectangle

              PQRSis a parallelogram with ∠E = 90°. This type of a parallelogram which iscalled a rectangle. Thus, a parallelogram with an angle a right angle is called a rectangle. The rectangle is a quadrilateral in which conflicting sides in both the pairs of sides are parallel and an angle aright angle. Every rectangle is a parallelogram but the converse is nota parallelogram.

Square:

              ABCDis a parallelogram with a pair of adjacent sides AB and AD are equal and ∠A = 90°. This type of parallelogram is called a Square.

Trapezium:

              InTrapezium, a Quadrilateral which is slightest pair of opposite sides are same. A parallelogram is a quadrilateral in which both the pairs of opposite sides are parallel.


Types of polygons on quadrilaterals and other polygons


Triangle:

Triangle

Triangle is a type polygon which has three sides with different or equal length.

Quadrilateral:

Quadrilateral

Quadrilateral is a type of polygon which has four sides with different length and angle.

Pentagon:

Pentagon

Pentagon is a type of polygon which has five sides with different length and angle.

Hexagon:

Hexagon

Hexagon is a type of polygon which has six sides with different length and angle.