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Triangle Construction by Taylor Rish

Triangle Construction by Taylor Rish
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2016-10-18 19:47
TriangleVectorGeometric Construction
This example demonstrates how to construct a triangle using GeoGebra. Key mathematical concepts include the properties of triangles and geometric construction. Commands used include Segment, Point, Intersect, Rotate, Angle, and Circle. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Segment(B, C) → h
  4. Segment(D, F) → i
  5. Segment(F, E) → j
  6. Segment(E, D) → k
  7. Segment(G, H) → l
  8. Point(l) → I
  9. Point(l) → L
  10. Segment(G, N) → m
  11. Segment(H, O) → n
  12. Intersect(m, n) → P
  13. Rotate(K, 90°, P) → K'
  14. Angle(K, P, K') → α
  15. Rotate(I, 30°, G) → I'
  16. Angle(I, G, I') → β
  17. Rotate(K', 60°, H) → K''
  18. Angle(K', H, K'') → γ
  19. Segment(M, Q) → p
  20. Segment(R, S) → q
  21. Segment(T, U) → r
  22. Segment(Z, W) → s
  23. Segment(W, V) → t
  24. Segment(Z, V) → a
  25. Segment(A_1, B_1) → b
  26. Segment(B_1, C_1) → c
  27. Segment(D_1, E_1) → d
  28. Segment(F_1, G_1) → e
  29. Segment(G_1, H_1) → f_1
  30. Segment(I_1, J_1) → g_1
  31. Point(b) → K_1
  32. Segment(I_1, N_1) → i_1
  33. Point(f_1) → L_1
  34. Circle(G_1, Segment[G_1, L_1]) → d_1
  35. Intersect(d_1, e, 1) → M_1
  36. Segment(J_1, Q_1) → h_1
  37. Segment(O_1, P_1) → j_1
  38. Segment(P_1, R_1) → k_1
  39. Segment(S_1, T_1) → l_1
  40. Segment(T_1, U_1) → m_1
  41. Segment(V_1, W_1) → n_1
  42. Point(j_1) → B_2
  43. Segment(C_2, A_2) → p_1
  44. Circle(P_1, Segment[B_2, P_1]) → q_1
  45. Intersect(q_1, k_1, 1) → D_2
  46. Segment(Z_1, F_2) → s_1
  47. Point(l_1) → E_2
  48. Circle(T_1, Segment[E_2, T_1]) → e_1
  49. Intersect(e_1, m_1, 1) → G_2
  50. Segment(Z_1, I_2) → t_1
  51. Point(t_1) → H_2
  52. Segment(A_2, L_2) → a_1
  53. Segment(J_2, K_2) → r_1
  54. Segment(M_2, N_2) → b_1
  55. Segment(O_2, P_2) → c_1
  56. Segment(P_2, Q_2) → f_2
  57. Segment(R_2, S_2) → g_2
  58. Point(c_1) → U_2
  59. Circle(P_2, Segment[P_2, U_2]) → e_2
  60. Intersect(e_2, f_2, 1) → V_2
  61. Segment(R_2, Z_2) → i_2
  62. Segment(A_3, T_2) → h_2