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Image of a Line Segment by Central Symmetry

Image of a Line Segment by Central Symmetry
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2016-02-15 18:45
VectorTransformation
This example demonstrates the image of a line segment after a central symmetry transformation. Key math concepts include central symmetry, line segment, and geometric transformations. GeoGebra commands used are Mirror, Vector, Translate, and Segment. Suitable for high school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Mirror(A, C) → B'
  2. Mirror(E, C) → E'
  3. Vector(E, E') → u
  4. Vector(A, B') → v
  5. Translate(A, Vector[(a * v)]) → A'
  6. Translate(E, Vector[(a * u)]) → E'_1
  7. Segment(A, A') → g
  8. Segment(E, E'_1) → h
  9. Segment(A, E) → b
  10. Segment(E', B') → c