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Sliding Game: Geometric Transformation and Locus Analysis

Sliding Game: Geometric Transformation and Locus Analysis
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2014-09-21 01:58
VectorTransformationGeometric Construction
This example demonstrates dynamic geometric transformations through sliding operations. Key mathematical concepts include similarity transformations, linear equations, and vector operations. Construction involves commands like OrthogonalLine, Intersect, and Polygon in GeoGebra. Suitable for middle school geometry teaching and dynamic geometry exploration.

GeoGebra Commands & Parameters

  1. OrthogonalLine(F, yAxis) → a
  2. OrthogonalLine(E, yAxis) → b
  3. OrthogonalLine(D, yAxis) → c
  4. OrthogonalLine(C, yAxis) → d
  5. OrthogonalLine(B, yAxis) → e
  6. OrthogonalLine(G, xAxis) → f
  7. OrthogonalLine(H, xAxis) → g
  8. OrthogonalLine(I, xAxis) → h
  9. OrthogonalLine(J, xAxis) → i
  10. OrthogonalLine(K, xAxis) → j
  11. OrthogonalLine(L, xAxis) → k
  12. Intersect(f, a) → M
  13. Intersect(g, a) → N
  14. Intersect(h, a) → O
  15. Intersect(i, a) → P
  16. Intersect(j, a) → Q
  17. Intersect(k, a) → R
  18. Intersect(k, b) → S
  19. Intersect(k, c) → T
  20. Intersect(k, d) → U
  21. Intersect(k, e) → V
  22. Intersect(j, b) → W
  23. Intersect(j, c) → Z
  24. Intersect(j, d) → A_1
  25. Intersect(j, e) → B_1
  26. Intersect(i, e) → C_1
  27. Intersect(i, d) → D_1
  28. Intersect(i, c) → E_1
  29. Intersect(i, b) → F_1
  30. Intersect(h, b) → G_1
  31. Intersect(h, c) → H_1
  32. Intersect(h, d) → I_1
  33. Intersect(h, e) → J_1
  34. Intersect(e, g) → K_1
  35. Intersect(g, d) → L_1
  36. Intersect(g, c) → M_1
  37. Intersect(g, b) → N_1
  38. Intersect(f, b) → O_1
  39. Intersect(f, c) → P_1
  40. Intersect(f, d) → Q_1
  41. Intersect(f, e) → R_1
  42. Polygon(R_1, K_1, H, G) → poli2, r_2, k_1, h_1, g_2
  43. Polygon(H, I, J_1, K_1) → poli3, h_2, i_1, j_1, k_2
  44. Polygon(I, J, C_1, J_1) → poli4, i_2, j_2, c_1, j_3
  45. Polygon(I_1, D_1, C_1, J_1) → poli5, i_3, d_1, c_2, j_4
  46. Polygon(H_1, E_1, D_1, I_1) → poli6, h_3, e_1, d_2, i_4
  47. Polygon(M_1, H_1, I_1, L_1) → poli7, m_1, h_4, i_5, l_1
  48. Polygon(H_1, G_1, F_1, E_1) → poli8, h_5, g_3, f_1, e_2
  49. Polygon(N, O, G_1, N_1) → poli9, n, o, g_4, n_1
  50. Polygon(O, P, F_1, G_1) → poli10, o_1, p, f_2, g_5
  51. Polygon(F_1, W, Q, P) → poli11, f_3, w, q, p_1
  52. Polygon(Q, R, S, W) → poli12, q_1, r, s, w_1
  53. Polygon(C_1, B_1, K, J) → poli13, c_3, b_2, k_3, j_5
  54. VerticalText(testo1) → testo2

AI Drawing Prompt Reference

This is a dynamic geometric transformation graph with multiple line segments and points. Line segments extend outward from the origin, forming vertical and horizontal lines. Points are connected through intersections of these lines, creating a complex graph structure. The graph illustrates similarity transformations and linear equations, suitable for geometry teaching and exploration.
The prompt above was compiled from the original drawing commands and is for reference only.