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Dilation Transformation Demo by Patricia Arnold

Dilation Transformation Demo by Patricia Arnold
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2016-10-01 23:48
FunctionTrigonometryTransformationGeometric ConstructionSlider Animation
This example demonstrates the effect of dilation (scaling) on geometric figures. It involves core math concepts like transformation, functions, trigonometry, exponentials, and differential equations. GeoGebra commands used include Polygon, Dilate, Ray, Distance, Angle, and Segment. Suitable for high school and above, helping learners understand dynamic changes in transformed geometry and function graphs.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, K, D) → A'
  3. Dilate(B, K, D) → B'
  4. Dilate(C, K, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Ray(D, A) → f
  7. Ray(D, B) → g
  8. Ray(D, C) → h
  9. Ray(D, A') → i
  10. Ray(D, B') → j
  11. Ray(D, C') → k
  12. Distance(A, B) → distanceAB
  13. Angle(A, C, B) → α
  14. Angle(B, A, C) → β
  15. Segment(B, C) → l
  16. Angle(C, B, A) → γ
  17. Angle(B', A', C') → δ
  18. Angle(C', B', A') → ε
  19. Angle(A', C', B') → ζ