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Polygons and Circumcircle

Polygons and Circumcircle
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2016-05-10 03:09
CirclePolygonAngleGeometric Construction
This example demonstrates the geometric relationship between polygons and their circumcircle. Core math concepts include polygon construction, circumcircle, angle measurement, and logic. Construction highlights the use of GeoGebra commands/objects like Segment, Point, Intersect, and Angle. Suitable for high school mathematics education to understand the geometric properties and construction methods of polygons and circles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Point(f) → C
  3. Segment(C, D) → g
  4. Point(g) → E
  5. Segment(E, F) → h
  6. Point(h) → G
  7. Segment(G, H) → i
  8. Point(i) → I
  9. Segment(I, J) → j
  10. Intersect(j, f) → K
  11. Angle(C, A, J) → α
  12. Angle(A, I, H) → β
  13. Angle(I, G, F) → γ
  14. Angle(G, E, D) → δ
  15. Angle(E, C, B) → ε
  16. Angle(A, C, E) → ζ
  17. Angle(C, E, G) → η
  18. Angle(E, G, I) → θ
  19. Angle(G, I, A) → ι
  20. Angle(I, A, C) → κ