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Translation Effect on a Circle

Translation Effect on a Circle
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2015-06-16 08:36
CircleVectorGeometric Construction
This example demonstrates the effect of translation on points of a circle, visually highlighted by color changes. Core math concepts include translation transformation and circle geometry. Constructed using GeoGebra commands like Circle, Point, Vector, and Translate. Suitable for high school students to learn and explore properties of geometric transformations, ideal for classroom instruction or self-study.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Point(c) → D
  4. Point(c) → E
  5. Point(c) → F
  6. Vector(G, H) → u
  7. Translate(c, u) → image
  8. Translate(A, u) → A'
  9. Translate(B, u) → B'
  10. Translate(C, u) → C'
  11. Translate(D, u) → D'
  12. Translate(E, u) → E'
  13. Translate(F, u) → F'
  14. Vector(B, B') → v
  15. Vector(C, C') → w
  16. Vector(D, D') → z
  17. Vector(E, E') → a
  18. Vector(F, F') → b
  19. Vector(A, A') → d