POLYGONS

 

Yes, it’s another Greek word. ‘Poly’ meaning multiple or more than 2 in this case, and ‘gon’ meaning angle. So a polygon is a geometric 2-dimensional figure made up of 3 or more line segments, called sides, and has 3 or more angles.

 

There are 2 more requirements for a polygon:

 

·        The sides of a polygon are connected end to end and make a closed path.

 

·        The sides of a polygon do not cross (intersect).

 

Here are some samples of polygons:

 

 

 

  

 

 

 

 

 

 

 


                                                        

 

 

 

 

 

 

 

 

 


These are not polygons:

Curved line is not a line segment.

The sides must form a closed path.

A polygon must have at least 3 sides.

 

The sides of a polygon must not cross.

 

Convex polygons – is a polygon in which all the sides are pushed outward.

 

 

 

 

Triangle

 

 

 

 

Quadralateral

 

Pentagon

 

 

 

Hexagon

 

 

Nonconvex (concave) polygons have at least two sides pushed in.

 

 

 

 

Quadralateral

 

 

 

Hexagon

 

 

 

Pentagon

 

 

 

Octagon

 

 

A polygon is a regular polygon if:

 

·        The sides are all the same length

·        The angles are all the same size.

 

 

 

 

 

 

 

Equilateral triangle

 

 

 

 

 

 

Square

 

 

 

 

 

Octagon