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Special Similar Triangles Case 2

Special Similar Triangles Case 2
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2017-01-30 04:22
TriangleFunctionGeometric Construction
This example demonstrates the construction and properties of special similar triangles, involving core math concepts like similar triangles, isosceles triangles, and function graphs (power, quadratic, logarithmic functions). It uses GeoGebra commands such as Polygon, Midpoint, and Segment. Suitable for high school mathematics teaching and function graphing learning.

GeoGebra Commands & Parameters

  1. Polygon(H_2, F_3, G_3) → poly2_1, g_2, h_2, f_2
  2. Midpoint(H_2, F_3) → I_1
  3. Midpoint(G_3, H_2) → J_1
  4. Segment(I_1, J_1) → l_2
  5. Segment(H_2, I_1) → m_2
  6. Segment(H_2, F_3) → n_2
  7. Segment(H_2, J_1) → p_2
  8. Segment(H_2, G_3) → q_2
  9. Polygon(H_2, I_1, J_1) → poly5_2, j_1, h_3, i_1
  10. Polygon(H_3, F_4, G_4) → poly2_3, g_3, h_5, f_3
  11. Segment(H_3, F_4) → n_1
  12. Segment(H_3, G_4) → q_1
  13. Segment(I_1, F_3) → t_2
  14. Segment(J_1, G_3) → t_1
  15. Polygon(H_1, F_1, G_1) → poly2_2, g_1, h_1, f_1
  16. Midpoint(H_1, F_1) → I_3
  17. Midpoint(G_1, H_1) → J_3
  18. Segment(H_1, F_1) → n_3
  19. Segment(H_1, G_1) → q_3
  20. Polygon(H_4, F_5, G_5) → poly2_4, g_4, h_6, f_4
  21. Midpoint(H_4, F_5) → I_4
  22. Midpoint(G_5, H_4) → J_4
  23. Segment(H_4, F_5) → n_4
  24. Segment(H_4, G_5) → q_4
  25. Midpoint(H_4, F_5) → K_1
  26. Midpoint(G_5, F_5) → L_1
  27. Midpoint(G_5, H_4) → M_1
  28. Polygon(L_1, M_1, K_1) → poly3_1, k_1, l_3, m_3
  29. Polygon(H_5, F_6, G_6) → poly2_5, g_5, h_7, f_5
  30. Midpoint(H_5, F_6) → I_5
  31. Midpoint(G_6, H_5) → J_5
  32. Segment(I_5, J_5) → l_4
  33. Segment(H_5, I_5) → m_4
  34. Segment(H_5, F_6) → n_5
  35. Segment(H_5, J_5) → p_3
  36. Segment(H_5, G_6) → q_5
  37. Polygon(H_5, I_5, J_5) → poly5_3, j_3, h_8, i_3
  38. Segment(I_5, F_6) → t_4
  39. Segment(J_5, G_6) → t_3
  40. Polygon(H_6, F_7, G_7) → poly2_6, g_6, h_{10}, f_6
  41. Midpoint(H_6, F_7) → I_6
  42. Midpoint(G_7, H_6) → J_6
  43. Segment(I_6, J_6) → l_5
  44. Segment(H_6, I_6) → m_5
  45. Segment(H_6, F_7) → n_6
  46. Segment(H_6, J_6) → p_4
  47. Segment(H_6, G_7) → q_6
  48. Polygon(H_6, I_6, J_6) → poly5_4, j_4, h_9, i_4
  49. Segment(I_6, F_7) → t_5
  50. Segment(J_6, G_7) → t_6
  51. Polygon(H_7, F_8, G_8) → poly2_7, g_7, h_{11}, f_7
  52. Midpoint(H_7, F_8) → I_2
  53. Midpoint(G_8, H_7) → J_2
  54. Segment(I_2, J_2) → l_1
  55. Segment(H_7, I_2) → m_1
  56. Segment(H_7, F_8) → n_7
  57. Segment(H_7, J_2) → p_1
  58. Segment(H_7, G_8) → q_7
  59. Polygon(H_7, I_2, J_2) → poly5_1, j_2, h_4, i_2
  60. Segment(I_2, F_8) → t_8
  61. Segment(J_2, G_8) → t_7
  62. Segment(I_1, F_3) → f
  63. Segment(J_1, G_3) → g