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Rotation Transformation Discovery

Rotation Transformation Discovery
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2019-08-29 22:51
CirclePolygonAngleTransformationGeometric Construction
This example demonstrates the process of generating new polygons through rotation transformations. Key math concepts include rotation, line segment length, algebra, incircle, and ratios. Construction highlights involve commands/objects like Polygon, Circle, Point, CircleSector, Angle, Rotate, and CircleArc in GeoGebra. Suitable for high school students and teachers exploring geometric transformations, coordinate geometry, and comprehensive applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Circle(D, 1) → d
  3. Point(d) → F
  4. CircleSector(D, E, F) → e
  5. Angle(E, D, F) → α
  6. Rotate(A, α, D) → A'
  7. Rotate(B, α, D) → B'
  8. Rotate(C, α, D) → C'
  9. Polygon(A', B', C') → poly1', c', a', b'
  10. CircleArc(D, A, A') → f
  11. CircleArc(D, B, B') → g
  12. CircleArc(D, C, C') → h
  13. Circle(D, A) → k
  14. Circle(D, B) → p
  15. Circle(D, C) → q