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GeoGebra Constructions Example

GeoGebra Constructions Example
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2019-09-12 01:38
CircleAngleGeometric Construction
This example demonstrates precise geometric constructions using GeoGebra, involving core math concepts like geometric construction, angle measurement, and intersection of segments and circles. Key GeoGebra commands and objects used include Angle, Segment, Point, Circle, Intersect, and Ray, as listed in the construction summary. Suitable for high school mathematics instruction or for enthusiasts learning geometric drawing techniques and tool usage.

GeoGebra Commands & Parameters

  1. Angle(A, B, C) → α
  2. Segment(A, B) → a
  3. Segment(B, C) → b
  4. Segment(D, E) → c
  5. Segment(F, G) → d
  6. Segment(H, I) → e
  7. Point(e) → J
  8. Segment(H_1, I_1) → e_1
  9. Circle(L, N) → f
  10. Point(a) → O
  11. Circle(B, O) → g
  12. Intersect(g, b, 1) → P
  13. Circle(P, Segment[O, P]) → h
  14. Circle(O, Segment[O, P]) → k
  15. Intersect(h, k, 2) → Q
  16. Ray(B, R) → i
  17. Ray(B, Q) → j
  18. Circle(E, Segment[D, E]) → p
  19. Circle(D, Segment[E, D]) → q
  20. Intersect(p, q, 2) → S
  21. Intersect(p, q, 1) → T
  22. Segment(S, T) → m
  23. Circle(G, Segment[F, G]) → r
  24. Circle(F, Segment[G, F]) → s
  25. Intersect(r, s, 2) → U
  26. Segment(U, F) → l
  27. Segment(U, G) → n
  28. Point(e) → V
  29. Circle(J, V) → t
  30. Intersect(t, e, 2) → W
  31. Circle(V, W) → c_1
  32. Circle(W, V) → d_1
  33. Intersect(c_1, d_1, 2) → Z
  34. Intersect(c_1, d_1, 1) → A_1
  35. Segment(Z, A_1) → f_1
  36. Point(e_1) → B_1
  37. Circle(K, B_1) → g_1
  38. Intersect(g_1, e_1, 2) → C_1
  39. Circle(B_1, Segment[C_1, B_1]) → h_1
  40. Circle(C_1, Segment[B_1, C_1]) → k_1
  41. Intersect(h_1, k_1, 2) → D_1
  42. Intersect(h_1, k_1, 1) → E_1
  43. Segment(D_1, E_1) → i_1
  44. Circle(N, Segment[L, N]) → p_1
  45. Intersect(f, p_1, 1) → F_1
  46. Intersect(f, p_1, 2) → G_1
  47. Circle(F_1, Segment[L, F_1]) → q_1
  48. Circle(G_1, Segment[G_1, L]) → r_1
  49. Intersect(f, q_1, 1) → J_1
  50. Intersect(f, r_1, 2) → K_1
  51. Circle(J_1, Segment[L, J_1]) → s_1
  52. Circle(K_1, Segment[L, K_1]) → t_1
  53. Intersect(f, s_1, 1) → L_1
  54. Circle(L_1, Segment[L, L_1]) → c_2
  55. Segment(F_1, N) → j_1
  56. Segment(N, G_1) → l_1
  57. Segment(G_1, K_1) → m_1
  58. Segment(K_1, L_1) → n_1
  59. Segment(L_1, J_1) → a_1
  60. Segment(J_1, F_1) → b_1