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Quadrilaterals Exploration: Trapezoid, Isosceles Trapezoid, and Kite

Quadrilaterals Exploration: Trapezoid, Isosceles Trapezoid, and Kite
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2018-03-07 08:11
PolygonGeometric Construction
This example uses GeoGebra to explore the properties and construction of trapezoids, isosceles trapezoids, and kites. Key mathematical concepts include quadrilaterals, isosceles trapezoids, and kites. Construction highlights include the use of segment, point, intersection, angle, and circle commands. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, D) → b
  3. Line(D, a) → c
  4. Point(c) → C
  5. Segment(B, C) → d
  6. Segment(D, C) → e
  7. Segment(D, B) → f
  8. Segment(A, C) → g
  9. Intersect(f, g) → E
  10. Segment(E, B) → h
  11. Segment(E, C) → i
  12. Segment(E, D) → j
  13. Segment(E, A) → k
  14. Angle(A, B, C) → α
  15. Angle(B, C, D) → β
  16. Angle(C, D, A) → γ
  17. Angle(D, A, B) → δ
  18. Angle(E, B, A) → ε
  19. Angle(C, B, E) → ζ
  20. Angle(B, C, E) → η
  21. Angle(D, C, E) → θ
  22. Angle(C, D, E) → ι
  23. Angle(E, D, A) → κ
  24. Angle(D, A, E) → λ
  25. Angle(E, A, B) → μ
  26. Angle(B, E, A) → ν
  27. Angle(B, E, C) → ξ
  28. Angle(C, E, D) → ο
  29. Angle(A, E, D) → ρ
  30. Segment(F, G) → p
  31. Line(H, p) → q
  32. Segment(F, H) → r
  33. Circle(G, r) → s
  34. Intersect(s, q, 2) → I
  35. Segment(G, I) → t
  36. Segment(H, I) → a_1
  37. Angle(I, H, F) → σ
  38. Angle(H, F, G) → τ
  39. Angle(F, G, I) → υ
  40. Angle(G, I, H) → ϕ
  41. Segment(H, G) → b_1
  42. Segment(F, I) → c_1
  43. Intersect(b_1, c_1) → J
  44. Segment(J, F) → d_1
  45. Segment(J, G) → e_1
  46. Segment(J, I) → f_1
  47. Segment(J, H) → g_1
  48. Angle(F, G, J) → χ
  49. Angle(J, G, I) → ψ
  50. Angle(G, I, J) → ω
  51. Angle(J, I, H) → α_1
  52. Angle(I, H, J) → β_1
  53. Angle(J, H, F) → γ_1
  54. Angle(H, F, J) → δ_1
  55. Angle(J, F, G) → ε_1
  56. Angle(G, J, I) → ζ_1
  57. Angle(I, J, H) → η_1
  58. Angle(H, J, F) → θ_1
  59. Angle(G, J, F) → ι_1
  60. Segment(L, M) → i_1
  61. Segment(K, L) → j_1
  62. Circle(M, i_1) → k_1
  63. Circle(K, j_1) → p_1
  64. Intersect(k_1, p_1, 1) → N
  65. Segment(M, N) → l_1
  66. Segment(N, K) → m_1
  67. Angle(L, M, N) → κ_1
  68. Angle(M, N, K) → λ_1
  69. Angle(N, K, L) → μ_1
  70. Angle(K, L, M) → ν_1
  71. Segment(L, N) → q_1
  72. Segment(M, K) → r_1
  73. Intersect(q_1, r_1) → O
  74. Segment(M, O) → s_1
  75. Segment(O, N) → t_1
  76. Segment(O, K) → a_2
  77. Segment(O, L) → b_2
  78. Angle(M, O, N) → ξ_1
  79. Angle(O, M, N) → ο_1
  80. Angle(M, N, O) → ρ_1
  81. Angle(O, N, K) → σ_1
  82. Angle(N, K, O) → τ_1
  83. Angle(O, K, L) → υ_1
  84. Angle(K, L, O) → ϕ_1
  85. Angle(O, L, M) → χ_1
  86. Angle(L, M, O) → ψ_1