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Similar Triangles Slider Demo

Similar Triangles Slider Demo
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2018-01-03 21:06
TriangleGeometric Construction
This example dynamically demonstrates the formation and properties of similar triangles using sliders; involves core math concepts like similarity criteria, corresponding side ratios, and angle relationships; constructed using commands such as Mirror, Ray, Point, Line, Polygon, Intersect, Segment, and Dilate; suitable for high school geometry teaching to visually understand similarity transformations and proportional relationships.

GeoGebra Commands & Parameters

  1. Mirror(G, F) → G'
  2. Ray(F, G') → l
  3. Point(l) → J
  4. Line(H, F) → g_2
  5. Polygon(F, G, H) → poly2, h_1, f_1, g_1
  6. Line(J, f_1) → h_2
  7. Intersect(g_2, h_2) → U
  8. Line(A, B) → b_1
  9. Polygon(C, A, B) → poly1, b, c, a_2
  10. Ray(A, C) → g
  11. Point(g) → D
  12. Line(D, a_2) → e_1
  13. Intersect(b_1, e_1) → T
  14. Ray(A, B) → f
  15. Segment(D, A) → h
  16. Segment(E, A) → i
  17. Segment(D, E) → j
  18. Mirror(H, F) → H'
  19. Ray(F, H') → k
  20. Segment(I, F) → m
  21. Segment(F, J) → n
  22. Segment(J, I) → p
  23. Polygon(A, D, E) → poly3, e, a_1, d
  24. Polygon(F, J, I) → poly4, i_1, f_2, j_1
  25. Polygon(K, L, M) → poly5, m_1, k_1, l_1
  26. Dilate(M, o, M) → M'
  27. Dilate(K, o, Scale) → K'
  28. Dilate(L, o, Scale) → L'
  29. Dilate(M, o, Scale) → M'_1
  30. Polygon(K', L', M'_1) → poly5', m'_1, k', l'
  31. Segment(O, P) → q
  32. Segment(O, Q) → r
  33. Segment(P, Q) → s
  34. Dilate(O, 1 / 3, Q) → O'
  35. Line(O', s) → t
  36. Intersect(q, t) → R
  37. Segment(R, O') → n_1
  38. Segment(O, O') → p_1
  39. Segment(O', Q) → q_1
  40. Segment(R, P) → r_1
  41. Segment(R, O) → s_1
  42. Line(A, C) → t_1
  43. Line(F, p) → c_1
  44. Line(G, m) → d_1
  45. Intersect(d_1, c_1) → S

AI Drawing Prompt Reference

Draw two similar triangles, triangle ABC and triangle DEF, where DEF is the mirror image of triangle FGH with point J on ray FG. Line b1 through points A and B intersects line c1 through points C and A at point T. Point D is on ray AC, and line e1 through points D and A intersects line b1 through points B and A at point T. Triangles ADE and FJI are similar, with point H' being the mirror image of point H through point F. Ray k through points F and H' intersects line i through points F and J at point R. Line t1 through points A and C intersects line c1 through points F and p at point S.
The prompt above was compiled from the original drawing commands and is for reference only.