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Dn Symmetry Demonstration

Dn Symmetry Demonstration
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2017-11-21 02:39
PolygonTransformationGeometric Construction
In collections Playing with Symmetry
This example demonstrates Dn symmetry in geometric figures, showcasing symmetry principles through rotation and reflection operations. Core math concepts include symmetry, angles, rotation, reflection, and polygon construction. It utilizes GeoGebra commands like Rotate, Angle, Line, Mirror, with objects such as α, A, B, A', β, f, g. Suitable for high school mathematics teaching to understand transformation geometry and symmetry principles.

GeoGebra Commands & Parameters

  1. Rotate(A, α, B) → A'
  2. Angle(A, B, A') → β
  3. Line(A, B) → f
  4. Line(A', B) → g
  5. Mirror(f, g) → f'
  6. Mirror(g, f') → g'
  7. Mirror(f', g') → f''
  8. Mirror(g', f') → g''
  9. Mirror(f', g') → f''_1
  10. Mirror(g', f''_1) → g''_1
  11. Mirror(C, f') → C'
  12. Mirror(C', g') → C''
  13. Mirror(C'', f''_1) → C'''
  14. Mirror(C''', g''_1) → D
  15. Mirror(D, f) → D'
  16. Mirror(D', g'') → D''
  17. Mirror(D'', f') → D'''
  18. Mirror(D''', g') → E
  19. Mirror(E, f''_1) → E'
  20. Mirror(E', g''_1) → E''
  21. Mirror(E'', f) → E'''