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Symmetry in a Circle

Symmetry in a Circle
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2015-12-22 22:02
CircleGeometric Construction
This example demonstrates the symmetry in a circle. Key mathematical concepts include circles and symmetry. Using GeoGebra commands such as Intersect, Circle, and Point, the construction of symmetric figures in a circle is illustrated. Suitable for students at the middle school level and above to learn about geometric constructions and symmetry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Circle(O, 1) → Circle
  3. Point(Circle) → A
  4. Point(Circle) → B
  5. Segment(O, A) → r_2
  6. Segment(O, B) → r_1
  7. Angle(O, A, B) → OAB
  8. Angle(O, B, A) → OBA
  9. Midpoint(A, B) → C
  10. Line(O, C) → LoS_l
  11. Angle(O, C, B) → LoS_a1
  12. Angle(O, C, A) → LoS_a2
  13. Angle(C, O, A) → LoS_a3
  14. Angle(C, O, B) → LoS_a4
  15. Segment(A, C) → LoS_s1
  16. Segment(C, B) → LoS_s2
  17. Segment(A, B) → S
  18. Angle(A, O, B) → AOB