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Grumpy Cat Transformations

Grumpy Cat Transformations
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2016-02-02 06:47
VectorCoordinate GeometryTransformation
This example demonstrates various geometric transformations, including translations, reflections, enlargements, and rotations. It provides a visual understanding of geometric transformations using commands like Vector, Translate, Segment, Circle, Point, Angle, Rotate, Dilate, Line, and Mirror. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Vector(F, TranslationVector) → u
  2. Translate(pic1, u) → pic1'_2
  3. Translate(A, u) → A'_2
  4. Translate(B, u) → B'_2
  5. Segment(B, CentreofRotation) → a
  6. Circle(CentreofRotation, B) → c
  7. Point(c) → E
  8. Segment(B, CentreofRotation) → b
  9. Segment(CentreofRotation, E) → d
  10. Angle(E, CentreofRotation, B) → α
  11. Rotate(pic1, (-α), CentreofRotation) → pic1'_3
  12. Rotate(A, (-α), CentreofRotation) → A'_3
  13. Dilate(A, ScaleFactor, CentreofEnlargement) → A'_1
  14. Dilate(B, ScaleFactor, CentreofEnlargement) → B'_1
  15. Dilate(pic1, ScaleFactor, CentreofEnlargement) → pic1'_1
  16. Point(xAxis) → C
  17. Line(C, G) → ReflectionLine
  18. Mirror(pic1, ReflectionLine) → pic1'
  19. Mirror(A, ReflectionLine) → A'
  20. Mirror(B, ReflectionLine) → B'