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Rotating Mona: Exploring Transformations

Rotating Mona: Exploring Transformations
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2016-11-10 22:40
VectorTransformationGeometric Construction
This example demonstrates how to explore the properties of geometric transformations through rotation. Key mathematical concepts include rotation and geometric transformations. Using GeoGebra commands such as Rotate and Translate, the process of rotation can be visually demonstrated. Suitable for students at the middle school level and above to learn about geometric transformations.

GeoGebra Commands & Parameters

  1. Vector(D, E) → u
  2. Translate(pic1, u) → pic1'
  3. Translate(B, u) → B'
  4. Translate(C, u) → C'
  5. Vector(B, B') → v
  6. Rotate(pic1, α, A) → pic1'_1
  7. Rotate(B, α, A) → B'_1
  8. Rotate(C, α, A) → C'_1
  9. CircleArc(A, C'_1, C) → c
  10. CircleArc(A, C, C'_1) → d
  11. Circle(A, C) → e
  12. Line(F, G) → f
  13. Mirror(pic1, f) → pic1'_2
  14. Mirror(B, f) → B'_2
  15. Mirror(C, f) → C'_2
  16. Dilate(pic1, k, A) → pic1'_3
  17. Dilate(B, k, A) → B'_3
  18. Dilate(C, k, A) → C'_3