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Rotation and Rotation by Aaron Dankman

Rotation and Rotation by Aaron Dankman
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2016-09-27 11:00
PolygonGeometric Construction
This example demonstrates the dynamic transformation process of a shape after rotation; core math concepts include rotation, angle, polygon, and similar triangles; construction highlights involve commands/objects like Polygon, Circle, Point, Segment, Angle, Rotate from GeoGebra; suitable for high school students learning geometric transformations and analytical geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Circle(G, H) → e
  3. Point(e) → I
  4. Circle(I, G) → f
  5. Point(f) → J
  6. Circle(J, I) → g
  7. Point(g) → K
  8. Circle(K, J) → h
  9. Point(e) → L
  10. Segment(L, G) → i
  11. Point(e) → M
  12. Segment(G, M) → j
  13. Point(h) → N
  14. Segment(N, K) → k
  15. Point(h) → O
  16. Segment(K, O) → l
  17. Angle(M, G, L) → α
  18. Angle(O, K, N) → β
  19. Rotate(A, (-α), E) → A'
  20. Rotate(B, (-α), E) → B'
  21. Rotate(C, (-α), E) → C'
  22. Rotate(D, (-α), E) → D'
  23. Polygon(A', B', C', D') → poly1', a', b', c', d'
  24. Rotate(A', (-β), F) → A''
  25. Rotate(B', (-β), F) → B''
  26. Rotate(C', (-β), F) → C''
  27. Rotate(D', (-β), F) → D''
  28. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''