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Image of a Point by Central Symmetry

Image of a Point by Central Symmetry
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2016-02-15 18:13
Coordinate GeometryTransformationGeometric Construction
This applet demonstrates the image of a point under central symmetry. Key mathematical concepts include symmetry. Using GeoGebra commands Mirror, OrthogonalLine, Intersect, and Segment, the construction of central symmetric figures is illustrated. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Mirror(A, O) → A'
  2. OrthogonalLine(O, xAxis) → a
  3. OrthogonalLine(A, yAxis) → b
  4. OrthogonalLine(A', yAxis) → c
  5. Intersect(a, b) → B
  6. OrthogonalLine(O, yAxis) → e
  7. OrthogonalLine(A', xAxis) → f
  8. Intersect(e, f) → C
  9. Segment(A, B) → i
  10. Segment(B, O) → j
  11. Segment(O, C) → k
  12. Segment(C, A') → l