Dictionary


Lines of Symmetry for a Polygon

How many lines of symmetry are possible for a 27 sided polygon?

One example of a 27 sided polygon:

Comments:
 

What is a polygon? What is an n sided polygon? Here we have n = 27.

What is meant by line of symmetry? How could an image symmetric to a line be constructed?

Click here for a 27 sided figure with 27 lines of symmetry?

 


Hints/Solution:
 

Can you answer the question for n = 4? . . . n = 4? . . . n = 5?   n = 6?

Note:    A polygon does not have to be convex.

Construct a 27 sided figure with 0 lines of symmetry.

Construct a 27 sided figure with 1 line of symmetry.

How many lines of symmetry for the polygon shown above?

Others? Click here for GSP Sketches.

No. 1

No. 2

No. 3

Extensions/Variations:


How may lines of symmetry are possible for an n sided polygon?

Develop a strategy for generating GSP sketches showing lines of symmetry in polygons with n sides.


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