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Circle Symmetry (3)

Circle Symmetry (3)
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2016-09-01 06:29
CircleFunctionGeometric Construction
This example demonstrates the symmetry of a circle and related geometric properties. It involves core mathematical concepts such as circle, symmetry, means, bar chart, cube, quadratic functions, and rational numbers. The construction uses GeoGebra commands and objects like Intersect, Point, Circle, Segment, OrthogonalLine, and Angle. Suitable for high school mathematics teaching or geometry learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Point(xAxis) → R
  3. Circle(O, R) → c
  4. Point(c) → C
  5. Segment(O, C) → a
  6. Point(a) → M
  7. OrthogonalLine(M, a) → b
  8. Intersect(c, b, 2) → B
  9. Intersect(c, b, 1) → A
  10. OrthogonalLine(C, a) → d
  11. Segment(O, A) → e
  12. Segment(O, B) → f
  13. Point(b) → C_1
  14. Point(b) → D
  15. Angle(O, A, C_1) → α
  16. Angle(D, B, O) → β
  17. Angle(A, O, B) → γ