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Translating Shapes

Translating Shapes
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2020-07-05 18:48
VectorTransformationGeometric Construction
This example demonstrates how to translate shapes using translation transformations and vectors. Key mathematical concepts include translation and vectors. It uses Polygon, Vector, and Translate commands in GeoGebra. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Vector(G, C) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Translate(D, u) → D'
  7. Translate(E, u) → E'
  8. Translate(F, u) → F'
  9. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'

AI Drawing Prompt Reference

Draw a hexagon. Then create a vector starting from one vertex of the hexagon and pointing to another vertex. Translate all six vertices of the hexagon by this vector, and connect the translated vertices to form a new congruent hexagon. Show the original and translated hexagons with distinct colors or line styles, and display the vector with an arrow to illustrate the translation transformation.
The prompt above was compiled from the original drawing commands and is for reference only.