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Free geometry worksheet to help students identify and draw axes of symmetry in polygons.
Free geometry worksheet to help students draw axes of symmetry in regular polygons.

Activity 3.8

Assignment 3.8

Reflectional Symmetry

 
Objectives
Identify axes of symmetry in polygons.
 
Draw axes of symmetry in polygons.
 
 
 
 
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Assignment 3.9

Assignment 3.9

Assignment 3.7

About Geometry Worksheet Assignment 3.8:     This assignment can be downloaded for free.

 

Assignment 3.8 is an introduction to axes of symmetry and reflectional symmetry in polygons.

 

Prerequisite Skills:  Identify reflections (Assignment 3.7).

 

Definitions:  An axis of symmetry is a line intersecting the interior of a polygon that divides the polygon into two polygons that are reflections of each other.

                           A polygon with an axis of symmetry has reflectional symmetry.

 

Theorems:   In regular polygons, the number of axes of symmetry is equal to the number of sides in the polygon.

                           In regular polygons with an even number of sides, one-half of the axes of symmetry contain two vertices and one-half contain two midpoints.  

                           In regular polygons with an odd number of sides, each axis of symmetry contains a vertex and the midpoint of a side. 

 

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