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Rotation around a point

Rotation around a point
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2020-02-28 00:12
VectorGeometric Construction
This example demonstrates the dynamic process of a polygon rotating around a fixed point. Core math concepts include rotation, vectors, angles, and geometric construction. It uses commands like Polygon, Rotate, CircleArc, Angle, and Segment in GeoGebra. Suitable for high school mathematics teaching to understand rotational transformations and vector operations.

GeoGebra Commands & Parameters

  1. Polygon(B, C, D, E, F, G) → poly1, b, c, d, e, f, g
  2. Rotate(B, α, A) → B'
  3. Rotate(C, α, A) → C'
  4. Rotate(D, α, A) → D'
  5. Rotate(E, α, A) → E'
  6. Rotate(F, α, A) → F'
  7. Rotate(G, α, A) → G'
  8. Polygon(B', C', D', E', F', G') → poly1', b', c', d', e', f', g'
  9. CircleArc(A, E, E') → h
  10. CircleArc(A, B, B') → k
  11. CircleArc(A, C, C') → p
  12. CircleArc(A, D, D') → q
  13. CircleArc(A, G, G') → r
  14. CircleArc(A, F, F') → s
  15. Angle(C, A, C') → β
  16. Segment(C, A) → i
  17. Segment(A, C') → j