Cn Symmetry

Cn Symmetry
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2017-11-26 07:59
In collections Playing With Symmetry
This example demonstrates Cn symmetry, involving concepts such as symmetry, least common multiple, and greatest common divisor. Using the Rotate command, the example constructs figures with Cn symmetry. Suitable for middle school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Rotate(A, α, B) → A'
  2. Angle(A, B, A') → β
  3. Rotate(A', α, B) → A''
  4. Rotate(A'', α, B) → A'''
  5. Rotate(A''', α, B) → C
  6. Rotate(C, α, B) → C'
  7. Rotate(C', α, B) → C''
  8. Rotate(C'', α, B) → C'''
  9. Rotate(C''', α, B) → D
  10. Rotate(D, α, B) → D'
  11. Rotate(D', α, B) → D''
  12. Rotate(D'', α, B) → D'''