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Geometry worksheet to help students classify polygons as convex or concave and, by the number of sides as triangles, quadrilaterals, pentagons, hexagons, octagons, decagons.
Geometry worksheet to help students identify and classify polygons as equilateral, equiangular, or regular.

Activity 3.8

Assignment 3.3

​Classifying Polygons

 
Objectives
Classify polygons:
 
  • as convex or concave
  • by number of sides
  • as equilateral, equiangular, or regular
 
 
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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.

 

                      

 

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