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Translation Exploration by GeoGebra Institute of Hong Kong

Translation Exploration by GeoGebra Institute of Hong Kong
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2014-08-03 09:55
VectorTransformationGeometric Construction
In collections Symmetry, Transformation and Tessellation
This example demonstrates the effect of translation on geometric figures. It involves core math concepts like vectors, geometric transformations, and coordinate geometry. Constructed using commands such as Polygon, Vector, and Translate in GeoGebra, it is suitable for high school students learning about the properties of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Vector(E, F) → u
  3. Vector(G, H) → v
  4. Translate(A, u) → A'
  5. Translate(B, u) → B'
  6. Translate(C, u) → C'
  7. Translate(D, u) → D'
  8. Polygon(A', B', C', D') → poly1', a', b', c', d'
  9. Translate(A, v) → A'_1
  10. Translate(B, v) → B'_1
  11. Translate(C, v) → C'_1
  12. Translate(D, v) → D'_1
  13. Polygon(A'_1, B'_1, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1