IDENTIFY AND CLASSIFY POLYGONS

A polygon is any 2-dimensional closed shape formed by three or more line segments. Triangle is a polygon with least number sides, that is three.

If the shape had curves or didn't fully connect, then it can't be called a polygon.

 A polygon can be identified and classified by the number of sides they have.

Note :

A polygon with more than 10 sides will be named as n-gon.

Examples : 

11-gon

12-gon

13-gon

Quadrilaterals

A polygon formed by four line segments is called a quadrilateral.

The sum of all the four angles of a quadrilateral is 360°.

Quadrilaterals with certain properties are given additional names. A trapezoid has exactly 1 pair of parallel sides. A parallelogram has 2 pairs of parallel sides. A rectangle has 4 right angles. A rhombus has 4 congruent sides. A square has 4 congruent sides and 4 right angles.

Parallelogram

If the opposite sides of a quadrilateral are parallel, then it is a parallelogram.

In a parallelogram,

• Opposite sides are parallel and equal.
• Opposite angles are equal and sum of any two adjacent angles is 180°
• Diagonals bisect each other.

Rectangle

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.

Square

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted ABCD

Rhombus

A rhombus is a simple quadrilateral whose four sides all have the same length.

• All sides are equal and opposite sides are parallel
• Opposite angles are equal and sum of any two adjacent angles is 180°.
• Diagonals bisect each other at right angles.

Trapezoid

Sides : One pair of opposite sides is parallel.

Angles : The angles at the ends of each non-parallel side are supplementary.

Diagonals : Diagonals need not be equal.

Isosceles Trapezoid 

Sides : One pair of opposite sides is parallel, the other pair of sides is equal in length.

Angles : The angles at the ends of each parallel side are equal.

Diagonals : Diagonals are equal in length.

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