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Decagon Exterior Angle Sum

Decagon Exterior Angle Sum
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2013-01-18 10:47
PolygonAngleGeometric ConstructionSlider Animation
In collections Polygons Exterior Angle sum
This example demonstrates how to calculate the sum of exterior angles in a decagon. It involves core math concepts like polygon exterior angle theorem. Constructed using GeoGebra commands: Ray, Polygon, Point, Angle. Suitable for middle school students and above learning polygon properties and geometric constructions.

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, H) → g
  8. Ray(H, I) → h
  9. Ray(I, J) → i
  10. Ray(J, A) → j
  11. Polygon(A, B, C, D, E, F, G, H, I, J) → poly1, a_1, j_1, b_1, c_1, d_1, e_1, f_1, g_1, h_1, i_1
  12. Point(j) → K
  13. Point(a) → L
  14. Point(b) → M
  15. Point(c) → N
  16. Point(d) → O
  17. Point(e) → P
  18. Point(f) → Q
  19. Point(g) → R
  20. Point(h) → S
  21. Point(i) → T
  22. Angle(B, A, K) → α
  23. Angle(C, B, L) → β
  24. Angle(D, C, M) → γ
  25. Angle(E, D, N) → δ
  26. Angle(F, E, O) → ε
  27. Angle(G, F, P) → ζ
  28. Angle(H, G, Q) → η
  29. Angle(I, H, R) → θ
  30. Angle(J, I, S) → ι
  31. Angle(A, J, T) → κ

AI Drawing Prompt Reference

Draw a decagon to demonstrate the sum of its exterior angles. Start by creating ten rays connected in sequence to form a closed polygon. Then mark points on the extended lines of each side and draw the exterior angles at each vertex. Finally, connect the vertices of the polygon to the points on the extended lines to form several triangles, visually illustrating the property of the sum of exterior angles.
The prompt above was compiled from the original drawing commands and is for reference only.