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Translation Transformation Demo by Christina Bulen

Translation Transformation Demo by Christina Bulen
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2017-01-16 23:58
VectorCoordinate GeometryTransformationGeometric Construction
This example demonstrates the dynamic effect of translation transformation for geometric figures, controlled by a vector. Core math concepts include vectors, translation, polygon construction, and coordinate geometry. It utilizes commands like Polygon, Vector, Translate, and Distance from GeoGebra. Suitable for high school and university students learning vectors, geometric transformations, and foundational mathematics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F, G, H, I, J) → poly1, a, j, b, c, d, e, f, g, h, i
  2. Vector(P, Q) → u
  3. Translate(A, u) → A'_1
  4. Translate(B, u) → B'_1
  5. Translate(C, u) → C'_1
  6. Translate(D, u) → D'_1
  7. Translate(E, u) → E'_1
  8. Translate(F, u) → F'_1
  9. Translate(G, u) → G'_1
  10. Translate(H, u) → H'_1
  11. Translate(I, u) → I'_1
  12. Translate(J, u) → J'_1
  13. Polygon(A'_1, B'_1, C'_1, D'_1, E'_1, F'_1, G'_1, H'_1, I'_1, J'_1) → poly1', a', j', b', c', d', e', f', g', h', i'
  14. Translate(B14, u) → A'
  15. Translate(B15, u) → B'
  16. Translate(B16, u) → C'
  17. Translate(B17, u) → D'
  18. Translate(B18, u) → E'
  19. Translate(B19, u) → F'
  20. Translate(B20, u) → G'
  21. Translate(B21, u) → H'
  22. Translate(B22, u) → I'
  23. Translate(B23, u) → J'
  24. Distance(P, Q) → distanceKL
  25. Translate(A, u) → D14
  26. Translate(B, u) → D15
  27. Translate(C, u) → D16
  28. Translate(D, u) → D17
  29. Translate(E, u) → D18
  30. Translate(F, u) → D19
  31. Translate(G, u) → D20
  32. Translate(H, u) → D21
  33. Translate(I, u) → D22
  34. Translate(J, u) → D23
  35. Distance(A, A') → B2
  36. Distance(A, A') → B3
  37. Distance(A, A') → B4
  38. Distance(A, A') → B5
  39. Distance(A, A') → B6
  40. Distance(A, A') → B7
  41. Distance(A, A') → B8
  42. Distance(A, A') → B9
  43. Distance(A, A') → B10
  44. Distance(A, A') → B11

AI Drawing Prompt Reference

Draw a polygon with ten vertices, then create a vector and use it to translate each vertex of the polygon, forming a new polygon. Display both the original and translated polygons, and measure the distance from each original vertex to its corresponding translated vertex to verify the translation effect.
The prompt above was compiled from the original drawing commands and is for reference only.