​Classifying Polygons

About Geometry Worksheet Assignment 3.3:     

 

Assignment 3.3 is an introduction to classifications of polygons.  

 

Prerequisite Skills:  Identify pairs of congruent line segments (Assignment 1.15).  Identify pairs of congruent angles (Assignment 2.8).

 

Definitions:  A polygon with no diagonals or with all diagonals in its interior is convex.  A polygon with at least one diagonal in its exterior in its interior is concave.

 

                          Polygons classified by the number of sides are: triangle (3 sides), quadrilateral (4 sides), pentagon (5 sides), hexagon (6 sides), 

                          heptagon (7 sides), octagon (8 sides), nonagon (9 sides), decagon (10 sides), dodecagon (12 sides) 

 

                         A polygon with all sides congruent is equilateral.  A polygon with all angles congruent is equiangular.  

                         A polygon that is equilateral and equiangular is regular.