Properties of 2 Dimensional Shapes

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2D Shapes and Line Symmetry

After doing an elementary geometry investigating by making, cutting and folding these regular 2D shapes, I found:
shape shape
2d shape - triangle

an equilateral triangle has 3 internal angles and 3 lines of symmetry. 


2d shape - Square
a square has 4 internal angles and 4 lines of symmetry.

2d shape - Regular Pentagon

a regular pentagon has 5 internal angles
and 5 lines of symmetry.


2d shape -  Regular Hexagon
a regular hexagon has 6 internal angles
and 6 lines of symmetry.

2d shape -  Regular Octagon
a regular octagon has 8 internal angles
and 8 lines of symmetry.

Is there a pattern here? What is it?

Mind you... maybe I've got this completly wrong. Perhaps
you should fold the shapes for yourself to check the validity
of my findings.


shape shape
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Line Symmetry Line Symmetry

Line Symmetry Line Symmetry

 

Symmetry inside a Kaleidoscope is next.