MathPlotAI Logo MathPlotAI

Kite Template: Step-by-Step Investigation

Kite Template: Step-by-Step Investigation
Loading the math board and drawing, please wait…
2019-06-27 04:16
PolygonAngleGeometric Construction
This example demonstrates the geometric construction and properties of a kite, involving core math concepts like geometric construction, angle relationships, and symmetry. It uses GeoGebra commands such as Rotate, Angle, Ray, Mirror, Point, Circle, Segment, Polygon, Intersect, CircleSector, and Midpoint to build the kite step-by-step and explore its characteristics. Suitable for middle school and above students for geometry learning and exploration activities.

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