Heptagon Exterior Angle Sum

Heptagon Exterior Angle Sum
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2013-01-18 10:43
This example demonstrates the property of the sum of exterior angles of a polygon. By constructing a heptagon, observe the pattern of its exterior angle sum. Key mathematical concepts include polygons and exterior angles. GeoGebra commands used include Ray, Point, Polygon, Angle, etc. Suitable for middle school and above students to learn polygon geometry.

GeoGebra Commands & Parameters

  1. Ray(A, B) → a
  2. Ray(B, C) → b
  3. Ray(C, D) → c
  4. Ray(D, E) → d
  5. Ray(E, F) → e
  6. Ray(F, G) → f
  7. Ray(G, A) → g
  8. Point(d) → H
  9. Point(e) → I
  10. Point(f) → J
  11. Point(g) → K
  12. Point(a) → L
  13. Point(b) → M
  14. Point(c) → N
  15. Polygon(F, G, A, B, C, D, E) → poly1, f_1, g_1, a_1, b_1, c_1, d_1, e_1
  16. Angle(F, E, H) → α
  17. Angle(G, F, I) → β
  18. Angle(A, G, J) → γ
  19. Angle(B, A, K) → δ
  20. Angle(C, B, L) → ε
  21. Angle(D, C, M) → ζ
  22. Angle(E, D, N) → η