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Introduction to Rotations by Mr. Rose

Introduction to Rotations by Mr. Rose
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2015-09-10 10:35
VectorGeometric Construction
This example demonstrates the rotation transformation of geometric figures in a 2D plane. Key math concepts include rotation, angle, polygon construction, and vector transformation. GeoGebra commands like Polygon, Rotate, Segment, and Angle are used, with objects such as P, F, E, D, and poly1 to achieve the rotation effect. Suitable for middle school students and above to learn geometric transformations and vector concepts, as well as visualizing integral and limit ideas in calculus.

GeoGebra Commands & Parameters

  1. Polygon(F, E, D) → poly1, d, b, c
  2. Rotate(F, (α * direction), P) → F'
  3. Rotate(E, (α * direction), P) → E'
  4. Rotate(D, (α * direction), P) → D'
  5. Polygon(F', E', D') → poly1', d', f', e'
  6. Segment(F, P) → a
  7. Segment(P, F') → e
  8. Angle(F, P, F') → β
  9. Segment(P, D) → g
  10. Segment(P, D') → h
  11. Angle(D, P, D') → γ
  12. Segment(P, E) → j
  13. Segment(P, E') → k
  14. Angle(E, P, E') → δ
  15. Segment(P, F) → m
  16. Segment(P, F') → n
  17. Angle(F', P, F) → ε