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Congruent Arcs and Arc Addition

Congruent Arcs and Arc Addition
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2019-11-29 20:56
CircleAngleGeometric Construction
This example demonstrates the concept of congruent arcs and arc addition. It constructs circles and arcs to show the relationship between arc length and central angle. Commands used include Circle, Point, CircleArc, Line, Mirror, Segment, and Angle. Suitable for middle school and above students to learn about circle properties and arc length calculation.

GeoGebra Commands & Parameters

  1. Circle(O, V) → c
  2. Point(c) → A
  3. Point(c) → B
  4. CircleArc(O, A, B) → d
  5. Point(c) → D_1
  6. Line(O, D_1) → f
  7. Mirror(d, f) → d'
  8. Mirror(B, f) → C
  9. Mirror(A, f) → D
  10. Mirror(d, O) → d'_1
  11. Mirror(B, O) → F
  12. Mirror(A, O) → E
  13. Segment(O, C) → g
  14. Segment(O, D) → h
  15. Segment(O, E) → i
  16. Segment(O, F) → j
  17. Segment(O, A) → k
  18. Segment(O, B) → l
  19. Angle(A, O, B) → α
  20. Angle(C, O, D) → β
  21. Angle(E, O, F) → γ