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Exterior Angles of Polygons by Trevor Leach

Exterior Angles of Polygons by Trevor Leach
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2018-10-10 03:01
PolygonAngleGeometric Construction
This example demonstrates the properties of exterior angles of polygons. Key mathematical concepts include polygons and angles. Using GeoGebra commands such as Ray, Dilate, and Polygon, the construction of polygons and measurement of their exterior angles are illustrated. Suitable for students in middle school and above to learn about the geometric properties of polygons.

GeoGebra Commands & Parameters

  1. Ray(C, A) → c
  2. Ray(A, B) → a
  3. Ray(B, D) → b
  4. Ray(D, E) → e
  5. Ray(E, F) → f
  6. Ray(F, C) → g
  7. Dilate(B, d, A) → G
  8. Dilate(D, d, A) → I
  9. Dilate(E, d, A) → J
  10. Dilate(F, d, A) → K
  11. Dilate(C, d, A) → L
  12. Ray(A, G) → h
  13. Ray(G, I) → i
  14. Ray(I, J) → j
  15. Ray(J, K) → k
  16. Ray(K, L) → l
  17. Ray(L, A) → m
  18. Polygon(A, G, I, J, K, L) → P, a_1, g_1, i_1, j_1, k_1, l_1
  19. Point(m) → H
  20. Point(h) → M
  21. Point(i) → N
  22. Point(j) → O
  23. Point(k) → Q
  24. Point(l) → R
  25. Angle(H, A, G) → α
  26. Angle(M, G, I) → β
  27. Angle(N, I, J) → γ
  28. Angle(O, J, K) → δ
  29. Angle(Q, K, L) → ε
  30. Angle(R, L, A) → ζ