Translation on Coordinate Plane

Translation on Coordinate Plane
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2015-10-25 17:54
This example investigates the effect of translation vectors on coordinates, including identity and inverse translations. Key mathematical concepts include vectors and transformations. Using GeoGebra commands like Polygon, Intersect, Vector, and Translate, the example constructs translated images. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → Preimage, a, b, c, d, e, f
  2. Intersect(xAxis, yAxis) → O
  3. Vector(O, H) → TranslationVector
  4. Translate(A, TranslationVector) → A'
  5. Translate(B, TranslationVector) → B'
  6. Translate(C, TranslationVector) → C'
  7. Translate(D, TranslationVector) → D'
  8. Translate(E, TranslationVector) → E'
  9. Translate(F, TranslationVector) → F'
  10. Polygon(A', B', C', D', E', F') → Image, a', b', c', d', e', f'
  11. Vector(F', F) → InverseTranslationVector