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Rotation in Action

Rotation in Action
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2017-12-25 10:11
TrigonometryGeometric Construction
In collections Mathematics Form 2
This example demonstrates the rotation of shapes in a coordinate system. It involves core mathematical concepts such as angles, rotation, trigonometry, special points, curve sketching, rational numbers, and percentages. The construction utilizes GeoGebra commands and objects like SelectedIndex, If, Polygon, Rotate, and Segment. It is suitable for high school students learning about geometric transformations and trigonometric functions.

GeoGebra Commands & Parameters

  1. SelectedIndex(Bahasa) → nn
  2. If(nn ≟ 1, {"Clockwise", "Anticlockwise"}, {"Ikut jam", "Lawan jam"}) → Arah
  3. SelectedIndex(Arah) → m
  4. If(m ≟ 1, -1, 1) → Ar
  5. Polygon(A, B, C) → poly1, c, a, b
  6. Rotate(B, (((Ar * d) * 360))°, P) → B'
  7. Rotate(C, (((Ar * d) * 360))°, P) → C'
  8. Rotate(A, (((Ar * d) * 360))°, P) → A'
  9. If(nn ≟ 1, {"None", "Point A", "Point B", "Point C"}, {"Tiada", "Titik A", "Titik B", "Titik C"}) → Angles
  10. Polygon(A', B', C') → poly1', c', a', b'
  11. Segment(A, P) → f
  12. Segment(P, A') → g
  13. Segment(B, P) → h
  14. Segment(P, B') → i
  15. Segment(C, P) → j
  16. Segment(P, C') → k
  17. If(nn ≟ 1, {"None", "Point A", "Point B", "Point C", "All points", "Line AB", "Line AC", "Line BC"}, {"Tiada", "Titik A", "Titik B", "Titik C", "Semua titik", "Garis AB", "Garis AC", "Garis BC"}) → Trace
  18. If(m ≟ 1, Angle[A', P, A], Angle[A, P, A']) → β
  19. If(m ≟ 1, Angle[B', P, B], Angle[B, P, B']) → γ
  20. If(m ≟ 1, Angle[C', P, C], Angle[C, P, C']) → δ
  21. SelectedIndex(Trace) → n
  22. SelectedIndex(Angles) → p

AI Drawing Prompt Reference

Demonstrate the rotation of a polygon around a point in a coordinate system, allowing the choice between clockwise and counterclockwise directions, showing the rotation angle and the rotated polygon, while optionally tracing the paths of the vertices and the changes in the edges during the rotation.
The prompt above was compiled from the original drawing commands and is for reference only.