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Kite Template: Guided Exploration

Kite Template: Guided Exploration
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2016-12-21 03:48
PolygonTransformationOptimizationInequalityGeometric Construction
In collections Kites
This example demonstrates the construction and exploration of a kite. Key mathematical concepts include the properties of kites, curve sketching, inequalities, and geometric transformations. Using commands like Rotate, Mirror, Circle, and Segment, it guides students through geometric construction. Suitable for high school mathematics, particularly in coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Rotate(B_1, α, A) → B'
  2. Angle(B_1, A, B') → β
  3. Ray(A, B') → f
  4. Ray(A, B_1) → g
  5. Mirror(A, g) → A'
  6. Mirror(B', g) → B''
  7. Ray(A', B'') → f'
  8. Point(g) → C
  9. Point(f) → B
  10. Circle(B, C) → c
  11. Segment(B, C) → h
  12. Mirror(B, g) → D
  13. Segment(C, D) → i
  14. Segment(A, C) → j
  15. Polygon(A, D, C, B) → poly1, a, d', c_1, d
  16. Segment(A, B) → k
  17. Segment(A, D) → l
  18. Circle(A, (0.2 * k)) → e
  19. Intersect(e, k, 1) → E
  20. Intersect(e, l, 1) → F
  21. CircleSector(A, F, E) → p
  22. Segment(A, C) → m
  23. Segment(B, D) → n
  24. Intersect(m, n) → G
  25. Angle(B, G, A) → γ
  26. Segment(A, G) → q
  27. Segment(G, C) → r
  28. Segment(B, G) → s
  29. Segment(G, D) → t
  30. Angle(G, A, B) → δ
  31. Angle(D, A, G) → ε
  32. Angle(G, C, D) → ζ
  33. Angle(B, C, G) → η
  34. Angle(A, B, G) → θ
  35. Angle(G, B, C) → ι
  36. Angle(G, D, A) → κ
  37. Angle(C, D, G) → λ
  38. Segment(C, A) → b
  39. Angle(B, C, D) → μ
  40. Angle(A, B, C) → ν
  41. Angle(C, D, A) → ξ
  42. Angle(C, A, B) → ο
  43. Angle(D, A, C) → ρ
  44. Segment(B, D) → f_1
  45. Midpoint(f_1) → H
  46. Segment(C, H) → g_1
  47. Angle(C, H, D) → σ
  48. Segment(B, H) → h_1
  49. Segment(H, D) → i_1
  50. Angle(B, C, A) → τ
  51. Angle(A, C, D) → υ
  52. Segment(A, C) → j_1
  53. Angle(A, B, C) → ϕ
  54. Angle(C, D, A) → χ
  55. Angle(D, A, B) → ψ
  56. Angle(B, C, D) → ω
  57. Polygon(A, B, C) → poly2, c_2, a_1, b_1
  58. Segment(A, C) → k_1
  59. Mirror(A, k_1) → A'_1
  60. Mirror(B, k_1) → B'_1
  61. Mirror(C, k_1) → C'
  62. Polygon(A'_1, B'_1, C') → poly2', c', a'_1, b'_1