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90 Degree Rotation Animation

90 Degree Rotation Animation
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2016-07-06 21:25
TransformationGeometric ConstructionSlider Animation
In collections CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2
This example demonstrates a 90-degree rotation animation, involving rotation, angles, and geometric construction. Using GeoGebra commands such as rotation, angle, and point, it showcases the dynamic process of rotation transformation. Suitable for middle school and above students to learn geometric transformations and dynamic geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Line(A, B) → i
  5. Line(B, C) → j
  6. Line(C, A) → k
  7. Polygon(A, B, C) → poly1, c, a, b
  8. OrthogonalLine(C, i) → l
  9. OrthogonalLine(A, j) → m
  10. OrthogonalLine(B, k) → n
  11. Intersect(l, m) → D
  12. Midpoint(C, B) → F
  13. Midpoint(A, B) → G
  14. Midpoint(A, C) → H
  15. Segment(A, F) → p
  16. Segment(C, G) → q
  17. Segment(B, H) → r
  18. Intersect(q, r) → I
  19. OrthogonalLine(G, f) → s
  20. OrthogonalLine(F, j) → t
  21. OrthogonalLine(H, h) → d
  22. Intersect(d, s) → J
  23. Intersect(i, l) → E
  24. Intersect(j, m) → K
  25. Angle(C, K, A) → α
  26. Point(i) → L
  27. Angle(C, E, L) → β
  28. Intersect(k, n) → M
  29. Angle(B, M, A) → γ
  30. Angle(J, G, A) → δ
  31. Point(t) → N
  32. Angle(C, F, N) → ε
  33. Angle(J, H, C) → ζ
  34. Dilate(J, If[0 < v ≤ 1, 1 - v, 0], I) → J'
  35. Midpoint(I, D) → O
  36. Segment(J, J') → f_1
  37. Dilate(I, If[1 < v ≤ 2, 2 - v, 0], O) → I'
  38. Segment(I, I') → g_1
  39. Dilate(O, If[2 < v ≤ 3, 3 - v, 0], D) → O'
  40. Segment(O, O') → h_1
  41. Rotate(J, If[3 < v ≤ 4, ((-(v - 3)) * π), (-π)], I) → J'_1
  42. Rotate(J', If[3 < v ≤ 4, ((-(v - 3)) * π), (-π)], I) → J''
  43. Segment(J'_1, J'') → i_1
  44. Rotate(J'_1, If[4 < v ≤ 5, ((-(v - 4)) * π), (-π)], O) → P
  45. Rotate(J'', If[4 < v ≤ 5, ((-(v - 4)) * π), (-π)], O) → J'''
  46. Segment(P, J''') → j_1