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Vector Translation Demonstration

Vector Translation Demonstration
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2017-09-22 02:06
PolygonVectorTransformationGeometric Construction
This example demonstrates the effect of vector translation on polygons. It involves core mathematical concepts such as vectors, translation transformations, and polygon construction. The construction uses GeoGebra commands like Polygon, Vector, and Translate. It is suitable for high school students learning about vectors and geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Vector(E, F) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Translate(D, u) → D'
  7. Polygon(A', B', C', D') → q1', a', b', c', d'
  8. Vector(G, H) → v
  9. Translate(A', v) → A''
  10. Translate(B', v) → B''
  11. Translate(C', v) → C''
  12. Translate(D', v) → D''
  13. Polygon(A'', B'', C'', D'') → q1'', a'', b'', c'', d''

AI Drawing Prompt Reference

Draw a quadrilateral, then draw a vector, translate the quadrilateral along this vector to get a new quadrilateral, and translate the new quadrilateral along another vector to get a second new quadrilateral, demonstrating the effect of vector translation.
The prompt above was compiled from the original drawing commands and is for reference only.