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Translation and Reflection by John Williams

Translation and Reflection by John Williams
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2016-09-20 11:27
VectorCoordinate GeometryGeometric Construction
This example demonstrates geometric transformations such as translation and reflection. It involves core math concepts like vectors, geometric constructions, and coordinate geometry. Key GeoGebra commands used include Polygon, Vector, Translate, Line, and Mirror. Suitable for high school students learning about transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, 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') → poly1', a', b', c', d'
  8. Line(G, H) → f
  9. Mirror(A', f) → A''
  10. Mirror(B', f) → B''
  11. Mirror(C', f) → C''
  12. Mirror(D', f) → D''
  13. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''

AI Drawing Prompt Reference

Draw a quadrilateral, then create a vector and translate the quadrilateral along the vector to form a new quadrilateral. Next, draw a line and reflect each vertex of the new quadrilateral across the line to get symmetric points, finally connecting these points to form a new quadrilateral to demonstrate geometric transformations of translation and reflection.
The prompt above was compiled from the original drawing commands and is for reference only.