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2D Transformation

2D Transformation
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2017-12-22 22:04
VectorTransformationGeometric Construction
In collections Transformation
This example demonstrates 2D transformations including translation, scaling, and rotation. Using GeoGebra commands such as Vector, Translate, Dilate, and Rotate, the effects of these transformations are visually illustrated. Suitable for students at middle school level and above to learn about geometric transformations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Polygon(C, D, E) → t1, e, c, d
  3. Translate(C, u) → C'
  4. Translate(D, u) → D'
  5. Translate(E, u) → E'
  6. Polygon(C', D', E') → t1', e', c', d'
  7. Dilate(C, factor_1) → C'_1
  8. Dilate(D, factor_1) → D'_1
  9. Dilate(E, factor_1) → E'_1
  10. Polygon(C'_1, D'_1, E'_1) → t1'_1, e'_1, c'_1, d'_1
  11. Rotate(C, rotation) → C'_2
  12. Rotate(D, rotation) → D'_2
  13. Rotate(E, rotation) → E'_2
  14. Polygon(C'_2, D'_2, E'_2) → t1'_2, e'_2, c'_2, d'_2
  15. Mirror(C, f) → C'_3
  16. Mirror(D, f) → D'_3
  17. Mirror(E, f) → E'_3
  18. Polygon(C'_3, D'_3, E'_3) → t1'_3, e'_3, c'_3, d'_3
  19. Mirror(C, h) → C'_4
  20. Mirror(D, h) → D'_4
  21. Mirror(E, h) → E'_4
  22. Polygon(C'_4, D'_4, E'_4) → t1'_4, e'_4, c'_4, d'_4
  23. Mirror(C, k) → C'_5
  24. Mirror(D, k) → D'_5
  25. Mirror(E, k) → E'_5
  26. Polygon(C'_5, D'_5, E'_5) → t1'_5, e'_5, c'_5, d'_5