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Geometric Constructions 10-17

Geometric Constructions 10-17
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2017-04-12 23:03
FunctionCoordinate GeometryGeometric Construction
This example demonstrates geometric constructions from 10 to 17 steps, involving basic geometric elements such as segments, circles, midpoints, and angle bisectors. Using GeoGebra commands like Segment, Circle, Midpoint, and AngularBisector, one can learn how to accurately perform geometric constructions. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(B, A) → c
  3. OrthogonalLine(B, f) → g
  4. Intersect(c, g, 2) → C
  5. Line(C, f) → h
  6. OrthogonalLine(A, h) → i
  7. Intersect(h, i) → D
  8. Segment(E, F) → j
  9. Circle(E, F) → d
  10. OrthogonalLine(E, j) → k
  11. OrthogonalLine(F, j) → l
  12. Point(k) → G
  13. Line(G, j) → m
  14. Intersect(l, m) → H
  15. Segment(I, J) → n
  16. Circle(I, J) → e
  17. Circle(J, I) → p
  18. Intersect(e, p, 1) → K
  19. Segment(I, K) → q
  20. Segment(K, J) → r
  21. Polygon(L, M, N, O) → poly1, l_1, m_1, n_1, o
  22. Midpoint(m_1) → P
  23. Midpoint(n_1) → Q
  24. Midpoint(o) → R
  25. Midpoint(l_1) → S
  26. Segment(L, P) → s
  27. Segment(L, Q) → t
  28. Segment(M, R) → a
  29. Segment(M, Q) → b
  30. Segment(O, S) → f_1
  31. Segment(O, P) → g_1
  32. Segment(N, R) → h_1
  33. Segment(N, S) → i_1
  34. Polygon(T, U, V, W) → poly2, t_1, u, v, w
  35. Midpoint(t_1) → Z
  36. Midpoint(w) → A_1
  37. Midpoint(v) → B_1
  38. Midpoint(u) → C_1
  39. Segment(Z, C_1) → j_1
  40. Segment(C_1, B_1) → k_1
  41. Segment(B_1, A_1) → p_1
  42. Segment(A_1, Z) → q_1
  43. Polygon(D_1, E_1, F_1, G_1) → poly3, d_1, e_1, f_2, g_2
  44. AngularBisector(D_1, E_1, F_1) → r_1
  45. AngularBisector(E_1, F_1, G_1) → s_1
  46. AngularBisector(F_1, G_1, D_1) → a_1
  47. AngularBisector(G_1, D_1, E_1) → b_1
  48. Polygon(H_1, I_1, J_1, K_1) → poly4, h_2, i_2, j_2, k_2
  49. LineBisector(i_2) → c_1
  50. LineBisector(j_2) → l_2
  51. LineBisector(k_2) → m_2
  52. LineBisector(h_2) → n_2
  53. Polygon(L_1, M_1, 4) → poly5, p_2, q_2, r_2, s_2, N_1, O_1
  54. OrthogonalLine(N_1, s_2) → t_2
  55. OrthogonalLine(N_1, p_2) → a_2

AI Drawing Prompt Reference

Draw a complex geometric figure composed of multiple triangles and quadrilaterals. Start by drawing segment AB, then draw a circle with center B, followed by the perpendicular line to the circle at B, find the intersection point C, then draw a line through C, and continue in this manner to construct multiple triangles and quadrilaterals, ultimately forming a complex figure made up of several triangles and quadrilaterals.
The prompt above was compiled from the original drawing commands and is for reference only.