MathPlotAI Logo MathPlotAI

Exploring Translations by Molly Potter

Exploring Translations by Molly Potter
Loading the math board and drawing, please wait…
2016-11-01 05:03
VectorTransformationGeometric Construction
This example uses GeoGebra to explore translations. It demonstrates how to move geometric shapes to new positions using translation vectors. Commands used include Polygon, Vector, Translate, and Distance. Suitable for middle school and above students learning geometric transformations.

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