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Properties of Translations

Properties of Translations
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2017-02-08 02:25
AngleVectorTransformation
This example demonstrates the properties of translations. It involves concepts such as translation transformation, vectors, and angles. Using GeoGebra commands like Polygon, Vector, Translate, and Angle, the construction of translated figures is illustrated. Suitable for students at the junior high school level and above to learn about geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, D, C, B) → poly1, a, d, c, b
  2. Vector(B, E) → u
  3. Translate(A, u) → A'
  4. Translate(D, u) → D'
  5. Translate(C, u) → C'
  6. Translate(B, u) → B'
  7. Polygon(A', D', C', B') → poly1', a', d', c', b'
  8. Angle(B, A, D) → α
  9. Angle(A, D, C) → β
  10. Angle(D, C, B) → γ
  11. Angle(C, B, A) → δ
  12. Angle(E, A', D') → ε
  13. Angle(A', D', C') → ζ
  14. Angle(D', C', E) → η
  15. Angle(C', E, A') → θ
  16. Vector(E, F) → v
  17. Translate(A', v) → A''
  18. Translate(D', v) → D''
  19. Translate(C', v) → C''
  20. Translate(B', v) → B''
  21. Polygon(A'', D'', C'', B'') → poly1'', a'', d'', c'', b''