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Geometry worksheet to help students determine whether polygons have rotational symmetry and calculate rotation in regular polygons.
Geometry worksheet to help students calculate measures of central angles and rotation in regular polygons.

Activity 3.8

Assignment 3.10

Rotational Symmetry

 
Objectives
Identify polygons with rotational symmetry.
 
Calculate measures of rotations of regular polygons.
 
 
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Assignment 3.9

About Geometry Worksheet Assignment 3.10:     

 

Assignment 3.10 is an introduction to rotational symmetry of polygons. 

 

Prerequisite Skills:  Identify rotations of polygons (Assignment 3.9).

 

Definition:  A polygon has rotational symmetry if an image of the polygon can be rotated about a center point less than 360 to coincide with the polygon.

 

Theorems:  Regular polygons have rotational symmetry.

 

                          The measure through which a regular polygon can be rotated to coincide with itself is a multiple of the measure of its central angle.

                                                                                                         

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