Question
Asked Sep 7, 2019
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How many symmetries does a regular n-gon have? (This means an n-sided polygon, all of whose sides are equal and all of whose angles are equal.)

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Expert Answer

Step 1

We find number of symmetries of triangle, square, pentagon.

An Equilateral Triangle (3 sides)
has 3 Lines of Symmetry
A Square (4 sides)
has 4 Lines of Symmetry
A Regular Pentagon (5 sides)
has 5 Lines of Symmetry
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An Equilateral Triangle (3 sides) has 3 Lines of Symmetry A Square (4 sides) has 4 Lines of Symmetry A Regular Pentagon (5 sides) has 5 Lines of Symmetry

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Step 2

Then we check for 6-gon,...

_A Regular Hexagon (6 sides)
has 6 Lines of Symmetry
A Regular Heptagon (7 sides)
has 7 Lines of Symmetry
_A Regular Octagon (8 sides)
has 8 Lines of Symmetry
help_outline

Image Transcriptionclose

_A Regular Hexagon (6 sides) has 6 Lines of Symmetry A Regular Heptagon (7 sides) has 7 Lines of Symmetry _A Regular Octagon (8 sides) has 8 Lines of Symmetry

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