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Rotation Transformation Demo by Edward Knote

Rotation Transformation Demo by Edward Knote
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2016-05-11 02:59
PolygonAngleCoordinate GeometryTransformationGeometric Construction
This example demonstrates the effect and properties of rotation transformation in a 2D plane. It involves core math concepts like rotation, angle, polygon construction, and coordinate geometry. Key GeoGebra commands and objects used include Intersect, Rotate, Polygon, Segment, and Angle. Suitable for high school students learning geometric transformations, vectors, and coordinate geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → S
  2. Rotate(A, α, S) → A'
  3. Rotate(B, α, S) → B'
  4. Rotate(A, β, G) → A''
  5. Rotate(B, β, G) → B''
  6. Polygon(A, B, C, E, F, D) → poly1, a, b, d, e, f, g
  7. Rotate(A, α, S) → A'_1
  8. Rotate(B, α, S) → B'_1
  9. Rotate(C, α, S) → C'
  10. Rotate(E, α, S) → E'
  11. Rotate(F, α, S) → F'
  12. Rotate(D, α, S) → D'
  13. Polygon(A'_1, B'_1, C', E', F', D') → poly1', a'_1, b'_1, c', e', f', d'
  14. Rotate(A, β, G) → A'_2
  15. Rotate(B, β, G) → B'_2
  16. Rotate(C, β, G) → C''
  17. Rotate(E, β, G) → E''
  18. Rotate(F, β, G) → F''
  19. Rotate(D, β, G) → D''
  20. Polygon(A'_2, B'_2, C'', E'', F'', D'') → poly1'_1, a'_2, b'_2, c'_1, e'_1, f'_1, d'_1
  21. Segment(A, S) → h
  22. Segment(S, A') → i
  23. Angle(A, S, A') → γ
  24. Segment(A, G) → j
  25. Segment(G, A'') → k
  26. Angle(A, G, A'') → δ