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Geometric Construction Example by jaramies

Geometric Construction Example by jaramies
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2017-12-18 21:27
AngleTransformationGeometric Construction
This example demonstrates how to perform geometric constructions using GeoGebra. Key mathematical concepts include segments, circles, angles, and rotations. By using commands such as Segment, Circle, Intersect, Distance, and Rotate, complex geometric shapes can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A_1, B_1) → f
  2. Circle(A_1, B_1) → c
  3. Circle(B_1, A_1) → d
  4. Intersect(c, d, 1) → C_1
  5. Segment(A_1, C_1) → g
  6. Segment(B_1, C_1) → h
  7. Distance(A_1, C_1) → distanceAC
  8. Distance(B_1, C_1) → distanceBC
  9. Distance(B_1, A_1) → distanceBA
  10. Rotate(D_1, 60°, E_1) → D'
  11. Angle(D_1, E_1, D') → α
  12. Segment(E_1, D_1) → i
  13. Segment(E_1, D') → j
  14. Circle(E_1, 5) → e
  15. Intersect(e, i) → F,
  16. Intersect(e, j) → G_1,
  17. Intersect(e, j, 1) → H_1
  18. Intersect(e, j, 1) → I_1
  19. Intersect(e, j, 1) → J
  20. Intersect(e, j, 1) → K
  21. Intersect(e, j, 1) → L
  22. Circle(F, 5) → k
  23. Circle(G_1, 5) → p
  24. Intersect(k, p) → M, N, ,
  25. Segment(N, E_1) → l
  26. Rotate(B_2, 60°, A_2) → C_2
  27. Angle(B_2, A_2, C_2) → β
  28. Segment(C_2, A_2) → m
  29. Segment(A_2, B_2) → n
  30. Circle(A_2, 3) → q
  31. Circle(A_2, 0.1494651033081253) → r
  32. Intersect(q, m, 1) → D_2
  33. Ray(G, H) → s
  34. Circle(G, 3) → t
  35. Distance(G, s) → distanceGs
  36. Intersect(t, s, 1) → I
  37. Distance(P, I) → distancePI
  38. Intersect(q, n, 1) → E_2
  39. Distance(D_2, E_2) → distanceDE
  40. Circle(I, 3) → c_1
  41. Intersect(c_1, t) → O, Q, ,
  42. Segment(A, B) → a
  43. Circle(A, B) → d_1
  44. Circle(B, A) → e_1
  45. Intersect(e_1, d_1) → D, C, ,
  46. Segment(C, D) → b
  47. Intersect(b, a) → E
  48. Intersect(e_1, d_1, 2) → U
  49. Intersect(e_1, d_1, 2) → V
  50. Intersect(e_1, d_1, 2) → W
  51. Intersect(e_1, d_1, 2) → Z
  52. Intersect(e_1, d_1, 2) → F_1
  53. Segment(P, R) → f_1
  54. Segment(S, T) → g_1
  55. Circle(J_1, K_1) → h_1
  56. Intersect(h_1, g_1) → L_1, M_1
  57. Segment(J_1, M_1) → i_1
  58. Segment(J_1, L_1) → j_1
  59. Circle(L_1, J_1) → k_1
  60. Circle(M_1, J_1) → p_1
  61. Intersect(k_1, p_1) → N_1, O_1, ,
  62. Segment(J_1, O_1) → l_1
  63. Intersect(h_1, l_1) → T_1,
  64. Intersect(p_1, j_1, 2) → R_1
  65. Intersect(p_1, j_1, 2) → P_1
  66. Line(J_1, g_1) → m_1