How many lines of symmetry are

for a 27 sided polygon?possibleOne 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?

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herefor 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.

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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