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Angle Symmetry Demonstration

Angle Symmetry Demonstration
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2017-04-28 00:11
AngleComplex NumberGeometric Construction
This example demonstrates the geometric construction and properties of angle symmetry. It involves core mathematical concepts such as angles, rays, angle bisectors, reflections, and complex numbers. The construction uses GeoGebra commands like Angle, Ray, AngularBisector, Point, and Mirror. It is suitable for high school mathematics education to understand symmetry transformations and geometric constructions.

GeoGebra Commands & Parameters

  1. Angle(A, B, C) → α
  2. Ray(B, A) → f
  3. Ray(B, C) → g
  4. AngularBisector(A, B, C) → h
  5. Point(h) → D
  6. Ray(B, D) → i
  7. Angle(A, B, D) → β
  8. Angle(D, B, C) → γ
  9. Point(g) → P
  10. Mirror(B, h) → B'
  11. Mirror(B, h) → B'_1
  12. Mirror(B, h) → B'_2
  13. Point(f) → Pprime
  14. Mirror(B, h) → B'_3