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Sean Jackson's GeoGebra Constructions

Sean Jackson's GeoGebra Constructions
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2016-03-07 02:29
CircleAngleGeometric Construction
This example showcases a series of geometric constructions by Sean Jackson, including segments, lines, points, intersections, angles, distances, circles, and midpoints. Using GeoGebra commands such as Segment, Line, Point, Intersect, Angle, Distance, Circle, and Midpoint, complex geometric shapes can be constructed. Suitable for middle school and above students to learn geometric constructions and related concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Line(C, a) → b
  3. Point(b) → D
  4. Segment(B, D) → c
  5. Line(A, c) → d
  6. Intersect(b, d) → E
  7. Segment(D, E) → e
  8. Segment(A, E) → f
  9. Angle(B, A, E) → α
  10. Angle(A, E, D) → β
  11. Angle(E, D, B) → γ
  12. Angle(D, B, A) → δ
  13. Segment(E, B) → h
  14. Segment(A, D) → g
  15. Intersect(h, g) → F
  16. Distance(A, F) → distanceAF
  17. Distance(F, E) → distanceFE
  18. Distance(D, F) → distanceDF
  19. Distance(F, B) → distanceFB
  20. Segment(G, H) → i
  21. Circle(G, H) → k
  22. Point(k) → J
  23. Segment(G, J) → j
  24. Circle(G, H) → q
  25. Line(J, i) → l
  26. Line(H, j) → m
  27. Intersect(l, m) → K
  28. Segment(J, K) → n
  29. Segment(K, H) → p
  30. Segment(H, J) → r
  31. Segment(G, K) → s
  32. Intersect(r, s) → L
  33. Angle(G, L, J) → ε
  34. Angle(K, J, L) → ζ
  35. Angle(L, J, G) → η
  36. Angle(J, G, L) → θ
  37. Angle(L, G, H) → ι
  38. Angle(G, H, L) → κ
  39. Angle(L, H, K) → λ
  40. Angle(H, K, L) → μ
  41. Angle(L, K, J) → ν
  42. Segment(M, N) → t
  43. Line(O, t) → a_1
  44. OrthogonalLine(N, t) → b_1
  45. OrthogonalLine(M, t) → c_1
  46. Intersect(a_1, c_1) → P
  47. Intersect(a_1, b_1) → Q
  48. Segment(N, Q) → d_1
  49. Segment(Q, P) → e_1
  50. Segment(P, M) → f_1
  51. Angle(M, N, Q) → ξ
  52. Angle(N, Q, P) → ο
  53. Angle(Q, P, M) → ρ
  54. Angle(P, M, N) → σ
  55. Segment(N, P) → g_1
  56. Segment(Q, M) → h_1
  57. Segment(R, S) → i_1
  58. Circle(R, S) → k_1
  59. OrthogonalLine(R, i_1) → j_1
  60. Circle(R, S) → p_1
  61. Intersect(p_1, j_1, 1) → T
  62. Line(T, i_1) → l_1
  63. OrthogonalLine(S, i_1) → m_1
  64. Intersect(l_1, m_1) → U
  65. Intersect(j_1, l_1) → V
  66. Segment(V, R) → n_1
  67. Segment(U, S) → q_1
  68. Segment(V, U) → r_1
  69. Segment(R, U) → s_1
  70. Segment(S, V) → t_1
  71. Intersect(s_1, t_1) → W
  72. Angle(U, W, S) → τ
  73. Angle(S, W, R) → υ
  74. Angle(R, W, V) → ϕ
  75. Segment(Z, A_1) → a_2
  76. Line(B_1, a_2) → b_2
  77. Point(b_2) → C_1
  78. Segment(Z, C_1) → c_2
  79. Segment(A_1, B_1) → d_2
  80. Segment(C_1, B_1) → e_2
  81. Midpoint(c_2) → D_1
  82. Midpoint(d_2) → E_1
  83. Segment(D_1, E_1) → f_2
  84. Segment(F_1, G_1) → g_2
  85. Line(H_1, g_2) → h_2
  86. Point(h_2) → I_1
  87. Segment(F_1, I_1) → i_2
  88. Midpoint(g_2) → J_1
  89. OrthogonalLine(J_1, g_2) → j_2
  90. Mirror(F_1, j_2) → K_1
  91. Mirror(I_1, j_2) → L_1
  92. Segment(K_1, L_1) → k_2
  93. Segment(I_1, L_1) → l_2
  94. Midpoint(i_2) → M_1
  95. Midpoint(k_2) → N_1
  96. Segment(M_1, N_1) → m_2
  97. Segment(P_1, Q_1) → p_2
  98. Midpoint(p_2) → R_1
  99. OrthogonalLine(R_1, p_2) → q_2
  100. Point(q_2) → O_1
  101. Segment(P_1, O_1) → n_2
  102. Mirror(P_1, q_2) → S_1
  103. Mirror(O_1, q_2) → T_1
  104. Segment(S_1, T_1) → r_2
  105. Point(q_2) → U_1
  106. Segment(Q_1, U_1) → s_2
  107. Mirror(Q_1, q_2) → V_1
  108. Mirror(U_1, q_2) → W_1
  109. Segment(V_1, W_1) → t_2
  110. Segment(O_1, U_1) → a_3
  111. Intersect(p_2, a_3) → Z_1
  112. Angle(Q_1, Z_1, O_1) → ψ
  113. Angle(U_1, P_1, O_1) → χ
  114. Angle(O_1, Q_1, U_1) → α_1
  115. Angle(V, R, S) → ω
  116. Angle(S, U, V) → β_1
  117. Angle(W, V, R) → γ_1
  118. Angle(W, S, U) → δ_1