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Dilation and Rotation

Dilation and Rotation
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2016-01-20 03:09
TriangleVectorTransformation
This example demonstrates the concepts of dilation and rotation. By transforming a triangle, students can understand the basic principles of these transformations. Commands used include Polygon and Rotate, suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(C, E, A, D, B) → P1, c, e, a, d, b
  2. Rotate(Polygon[Dilate[C, r, P], Dilate[E, r, P], Dilate[A, r, P], Dilate[D, r, P], Dilate[B, r, P]], t, P) → A1
  3. Rotate(Dilate[A1, r, P], t, P) → A2
  4. Rotate(Dilate[A2, r, P], t, P) → A3
  5. Rotate(Dilate[A3, r, P], t, P) → A4
  6. Rotate(Dilate[A4, r, P], t, P) → A5
  7. Rotate(Dilate[A5, r, P], t, P) → A6
  8. Rotate(Dilate[A6, r, P], t, P) → A7
  9. Rotate(Dilate[A7, r, P], t, P) → A8
  10. Rotate(Dilate[A8, r, P], t, P) → A9
  11. Rotate(Dilate[A9, r, P], t, P) → A10
  12. Rotate(Dilate[A10, r, P], t, P) → A11
  13. Rotate(Dilate[A11, r, P], t, P) → A12
  14. Rotate(Dilate[A12, r, P], t, P) → A13
  15. Rotate(Dilate[A13, r, P], t, P) → A14
  16. Rotate(Dilate[A14, r, P], t, P) → A15
  17. Rotate(Dilate[A15, r, P], t, P) → A16
  18. Rotate(Dilate[A16, r, P], t, P) → A17
  19. Rotate(Dilate[A17, r, P], t, P) → A18
  20. Rotate(Dilate[A18, r, P], t, P) → A19
  21. Rotate(Dilate[A19, r, P], t, P) → A20