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Dilation on Line Paper 4

Dilation on Line Paper 4
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2017-01-12 12:12
Coordinate GeometryGeometric Construction
This example demonstrates the process of performing dilation on shapes on line paper; core math concepts include dilation, center, coordinate geometry, geometric construction; construction highlights involve commands/objects like Line, Point, OrthogonalLine, Intersect, LineBisector, Polygon, Dilate in GeoGebra; suitable for high school students learning geometric transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(A_2, B_2) → f
  2. Line(C_2, D_2) → g
  3. Line(E, F) → h
  4. Line(G, H) → i
  5. Line(I, J) → j
  6. Line(K, L) → k
  7. Line(M, N) → l
  8. Line(O, P_1) → m
  9. Line(Q, R) → n
  10. Line(S, T) → p
  11. Line(U, V) → q
  12. Point(q) → F_1
  13. OrthogonalLine(F_1, q) → r
  14. Intersect(k, r) → G_1
  15. Intersect(j, r) → H_1
  16. Intersect(i, r) → I_1
  17. Intersect(r, h) → J_1
  18. Intersect(g, r) → K_1
  19. Intersect(f, r) → L_1
  20. Intersect(l, r) → M_1
  21. Intersect(r, m) → N_1
  22. Intersect(n, r) → O_1
  23. LineBisector(F_1, G_1) → s
  24. LineBisector(G_1, H_1) → t
  25. LineBisector(H_1, I_1) → a
  26. LineBisector(I_1, J_1) → b
  27. LineBisector(J_1, K_1) → c
  28. LineBisector(K_1, L_1) → d
  29. LineBisector(L_1, M_1) → e
  30. LineBisector(M_1, N_1) → f_1
  31. LineBisector(N_1, O_1) → g_1
  32. Line(W, Z) → h_1
  33. Line(A_1, B_1) → i_1
  34. Point(q) → C_1
  35. LineBisector(A_1, C_1) → j_1
  36. Point(j) → B
  37. Point(j) → D
  38. Point(q) → C
  39. Point(f) → A
  40. Polygon(A, B, C, D) → poly1, a_1, b_1, d_1, c_1
  41. Point(i) → P
  42. Dilate(A, scaleFactor, P) → A'
  43. Dilate(B, scaleFactor, P) → B'
  44. Dilate(C, scaleFactor, P) → C'
  45. Dilate(D, scaleFactor, P) → D'
  46. Polygon(A', B', C', D') → targetPoly, a', b', c', d'

AI Drawing Prompt Reference

Draw a geometric construction on a line to demonstrate the process of dilation. Start by creating several lines and points, then find the intersections of these lines and draw the angle bisectors of the resulting angles. Next, select a center point and a scale factor, use this to dilate a quadrilateral, and draw the dilated shape, showing both the original and the transformed figures.
The prompt above was compiled from the original drawing commands and is for reference only.