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Trapezoid and Kite Properties Exploration

Trapezoid and Kite Properties Exploration
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2020-03-06 11:00
PolygonAngleVectorGeometric ConstructionSlider Animation
This example demonstrates the geometric properties of trapezoids and kites. It involves core concepts like polygons, angles, vectors, and geometric transformations. Construction uses commands such as Segment, Line, Point, Angle, Circle, Intersect, Midpoint, Rotate, Ray, and Vector. Ideal for high school geometry classes to explore and verify shape properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Line(C, f) → h
  4. Point(h) → D
  5. Segment(B, D) → i
  6. Segment(C, D) → j
  7. Angle(C, A, B) → α
  8. Angle(A, C, D) → β
  9. Angle(C, D, B) → γ
  10. Angle(A, B, D) → δ
  11. Segment(I, J) → r
  12. Segment(I, K) → s
  13. Circle(K, I) → c
  14. Circle(J, I) → d
  15. Intersect(c, d, 2) → L
  16. Segment(J, L) → t
  17. Segment(K, L) → a
  18. Midpoint(g) → M
  19. Midpoint(i) → N
  20. Segment(M, N) → b
  21. Segment(E, F) → k
  22. Line(G, k) → l
  23. Point(l) → O
  24. Segment(E, G) → m
  25. Circle(F, m) → e
  26. Angle(F, E, G) → ε
  27. Rotate(E, (-ε), F) → E'
  28. Angle(E', F, E) → ζ
  29. Rotate(E, ε, F) → E'_1
  30. Angle(E, F, E'_1) → η
  31. Circle(F, m) → p
  32. Segment(F, E'_1) → n
  33. Segment(F, E') → q
  34. Intersect(p, q) → Q,
  35. Segment(G, Q) → g_1
  36. Segment(Q, F) → h_1
  37. Rotate(F, (-ε), E) → F'
  38. Angle(F', E, F) → θ
  39. Ray(F, E') → f_1
  40. Intersect(p, f_1) → P,
  41. Segment(P, F) → i_1
  42. Segment(P, G) → j_1
  43. Angle(F, E, G) → αα
  44. Segment(G, F) → k_1
  45. Segment(E, P) → l_1
  46. Point(b) → H
  47. Point(f) → R
  48. Point(j) → S
  49. Point(l_1) → T
  50. Point(k_1) → U
  51. Vector(E, G) → u
  52. Angle(F, E, G) → κ
  53. Line(G, k) → m_1
  54. Circle(F, m) → c_1
  55. Rotate(E, αα, F) → E'_2
  56. Angle(E, F, E'_2) → ι
  57. Ray(F, E'_2) → n_1
  58. Point(n_1) → V
  59. Intersect(n_1, m_1) → W
  60. Segment(W, F) → p_1
  61. Segment(G, W) → q_1
  62. Segment(E, W) → r_1
  63. Point(r_1) → Z
  64. Point(m) → A_1
  65. Point(i_1) → B_1
  66. Point(p_1) → C_1
  67. Point(r) → D_1
  68. Point(t) → E_1
  69. Point(a) → F_1
  70. Point(s) → G_1
  71. Point(t) → H_1
  72. Segment(K, J) → s_1
  73. Segment(I, L) → t_1
  74. Intersect(s_1, t_1) → I_1
  75. Angle(L, I_1, K) → λ
  76. Angle(K, I, J) → μ
  77. Angle(K, L, J) → ν
  78. Angle(I, K, L) → ξ
  79. Angle(I, J, L) → ο