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Translation Example by mikaelpn

Translation Example by mikaelpn
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2013-07-17 10:55
PolygonVectorGeometric Construction
In collections Translation Tessellations
This example demonstrates how to create a shape and translate it to another position using vector translation in GeoGebra. Key math concepts include transformation, vector, and polygon construction. It uses commands like Polygon, Segment, Point, Vector, and Translate. Suitable for middle school students and beyond for learning geometric transformations and vector applications, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Segment(A, E) → e
  3. Segment(F, E) → f
  4. Segment(G, F) → g
  5. Point(a) → H
  6. Segment(H, G) → h
  7. Segment(I, H) → i
  8. Segment(J, I) → j
  9. Segment(K, J) → k
  10. Segment(B, K) → l
  11. Vector(B, C) → u
  12. Translate(A, u) → A'
  13. Translate(B, u) → B'
  14. Segment(A', B') → a'
  15. Translate(A, u) → A'_1
  16. Translate(E, u) → E'
  17. Segment(A'_1, E') → e'
  18. Translate(F, u) → F'
  19. Translate(E, u) → E'_1
  20. Segment(F', E'_1) → f'
  21. Translate(G, u) → G'
  22. Translate(F, u) → F'_1
  23. Segment(G', F'_1) → g'
  24. Translate(H, u) → H'
  25. Translate(G, u) → G'_1
  26. Segment(H', G'_1) → h'
  27. Translate(I, u) → I'
  28. Translate(H, u) → H'_1
  29. Segment(I', H'_1) → i'
  30. Translate(J, u) → J'
  31. Translate(I, u) → I'_1
  32. Segment(J', I'_1) → j'
  33. Translate(K, u) → K'
  34. Translate(J, u) → J'_1
  35. Segment(K', J'_1) → k'
  36. Translate(B, u) → B'_1
  37. Translate(K, u) → K'_1
  38. Segment(B'_1, K'_1) → l'
  39. Segment(D, L) → m
  40. Segment(L, M) → n
  41. Translate(M, Vector[(0, -0.040000000000000036)]) → M'
  42. Segment(M, A) → p
  43. Vector(D, C) → v
  44. Translate(D, v) → D'
  45. Translate(A, v) → A'_2
  46. Segment(D', A'_2) → d'
  47. Translate(D, v) → D'_1
  48. Translate(L, v) → L'
  49. Segment(D'_1, L') → m'
  50. Translate(L, v) → L'_1
  51. Translate(M, v) → M'_1
  52. Segment(L'_1, M'_1) → n'
  53. Translate(M, v) → M'_2
  54. Translate(A, v) → A'_3
  55. Segment(M'_2, A'_3) → p'
  56. Translate(A', v) → A''
  57. Translate(A'_1, v) → N
  58. Translate(M', v) → M''

AI Drawing Prompt Reference

Draw a quadrilateral and then translate it using a vector to a new position to demonstrate geometric transformation. First, create a quadrilateral, then connect a pair of opposite vertices with a vector. Use this vector to translate the quadrilateral, forming a new quadrilateral. Connect each side of the original quadrilateral to the corresponding side of the new quadrilateral with line segments. Finally, connect the vertices of the original and new quadrilaterals to visualize the translation effect.
The prompt above was compiled from the original drawing commands and is for reference only.