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Incircle of Hexagon

Incircle of Hexagon
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2019-03-27 18:20
CirclePolygonGeometric Construction
This example demonstrates how to construct the incircle of a hexagon. Key math concepts include polygon, circle, angle bisector, intersection, coordinate geometry. Construction highlights involve commands like Polygon, LineBisector, Intersect, Circle, Point, Segment in GeoGebra. Suitable for high school students and teachers learning geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 6) → poly1, f, F, g, h, i, j, k, C, D, E
  2. LineBisector(F, A) → l
  3. LineBisector(E, F) → m
  4. Intersect(l, m) → G
  5. LineBisector(F, E) → n
  6. LineBisector(E, D) → p
  7. LineBisector(F, A) → q
  8. Intersect(p, i) → H
  9. Intersect(q, h) → I
  10. Intersect(n, g) → J
  11. Intersect(p, f) → K
  12. Intersect(n, j) → L
  13. Intersect(q, k) → M
  14. Circle(G, I) → c
  15. Point(c) → N
  16. Segment(N, E) → r
  17. Segment(N, D) → s
  18. Segment(N, F) → t
  19. Segment(N, A) → a
  20. Segment(N, B) → b
  21. Segment(N, C) → d
  22. Point(c) → O
  23. Segment(G, O) → e