MathPlotAI Logo MathPlotAI

Isosceles Triangle Rotation Animation

Isosceles Triangle Rotation Animation
Loading the math board and drawing, please wait…
2016-06-21 18:32
TriangleSolid GeometryTransformationGeometric ConstructionSlider Animation
This example demonstrates the solid shape formed by rotating an isosceles triangle around its base. Key mathematical concepts include the properties of isosceles triangles and solid geometry. Using GeoGebra commands such as Circle, Segment, Rotate, Polygon, and Translate, the rotation animation is constructed. Suitable for middle or high school students learning solid geometry and rotation transformations.

GeoGebra Commands & Parameters

  1. Circle(B, C) → c
  2. Segment(B, C) → a
  3. OrthogonalLine(C, a) → b
  4. Rotate(C, 45°, B) → C'
  5. Angle(C, B, C') → α
  6. Ray(B, C') → d
  7. Intersect(b, d) → A
  8. Segment(A, C) → e
  9. Segment(B, A) → f
  10. Polygon(B, C, A) → poly1, a_1, b_1, c_1
  11. Line(B, C) → h
  12. Point(h) → D
  13. Point(h) → E
  14. Ray(C, E) → i
  15. Point(i) → F
  16. Ray(C, F) → j
  17. Dilate(B, If[0 < g ≤ 1, 1 - g, 0], C) → B'
  18. Segment(B, B') → k
  19. Dilate(C, If[1 < g ≤ 2, 2 - g, 0], A) → C'_1
  20. Segment(C, C'_1) → l
  21. Circle(C, (0.15 * a)) → p
  22. Intersect(p, j, 1) → G
  23. Intersect(p, e, 1) → H
  24. Intersect(p, a, 1) → I
  25. Circle(A, (0.15 * a)) → q
  26. Circle(B, (0.15 * a)) → r
  27. Intersect(q, e, 1) → J
  28. Intersect(q, f, 1) → K
  29. CircleSector(C, H, I) → s
  30. Dilate(A, If[2 < g ≤ 3, 3 - g, 0], B) → A'
  31. Segment(A, A') → m
  32. CircleSector(A, K, J) → t
  33. Rotate(s, If[3.5 < g ≤ 4.5, ((-(g - 3.5)) * π / 2), -1.5707963267948966], C) → s'
  34. Dilate(A, If[5.5 < g ≤ 6.5, 6.5 - g, 0], B) → A'_1
  35. Vector(A, A'_1) → u
  36. Translate(t, u) → t'
  37. Rotate(B, If[4.5 < g ≤ 5.5, ((-(g - 4.5)) * π / 2), -1.5707963267948966], C) → B'_1
  38. Rotate(B', If[4.5 < g ≤ 5.5, ((-(g - 4.5)) * π / 2), -1.5707963267948966], C) → B''
  39. Segment(B'_1, B'') → k'
  40. Rotate(t', If[6.5 < g ≤ 7.5, (((-(g - 6.5)) * 5) * π / 4), -3.92699], B) → t''
  41. Dilate(A, If[7.5 < g ≤ 8.5, 8.5 - g, 0], C) → A'_2
  42. Vector(A, A'_2) → v
  43. Translate(t, v) → t'_1
  44. Rotate(t'_1, If[8.5 < g ≤ 9.5, (((-(g - 8.5)) * 3) * π / 4), -2.356194490192345], C) → d_1
  45. Dilate(A, If[9.5 < g ≤ 10.5, 10.5 - g, 0], C) → A'_3
  46. Vector(A, A'_3) → w
  47. Translate(t, w) → t'_2
  48. Rotate(t'_2, If[10.5 < g ≤ 11.5, ((-(g - 10.5)) * π / 2), -1.5707963267948966], C) → e_1