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Exterior Angles of Polygon

Exterior Angles of Polygon
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2017-12-22 21:41
PolygonAngleGeometric Construction
In collections Mathematics Form 2
This example demonstrates the properties of the exterior angles of a polygon. Key mathematical concepts include the exterior angles and angles. Using GeoGebra commands such as Sequence, Sum, and Text, the sum of the exterior angles of a polygon is dynamically shown to always equal 360 degrees. Suitable for middle school and above students to learn geometric construction and angle-related knowledge.

GeoGebra Commands & Parameters

  1. SelectedIndex(Bahasa) → nn
  2. If(nn ≟ 1, "Sum of angles", "Hasil tambah sudut") → Tex3
  3. If(nn ≟ 1, "Angle ", "Sudut ") → Tex2
  4. If(nn ≟ 1, "Angle at A", "Sudut pada A") → Tex1
  5. Circle(Y, a) → c
  6. Point(c) → A
  7. Point(c) → J
  8. Point(c) → I
  9. Point(c) → H
  10. Point(c) → G
  11. Point(c) → F
  12. Point(c) → E
  13. Point(c) → D
  14. Point(c) → C
  15. Point(c) → B
  16. Reverse(Sort[Take[ListPP, 1, n]]) → LtS
  17. Join({{A}, Sequence[ListP(IndexOf[LtS(m), ListPP]), m, 2, n]}) → Lt
  18. Join({Sequence[Ray[Lt(m), Lt(m + 1)], m, 1, n - 1], {Ray[Lt(n), Lt(1)]}}) → Ry
  19. Sequence(Circle[Lt(m), 2], m, 1, n) → Ac
  20. Join({{Intersect[Ac(1), Ry(n), 2]}, Sequence[Intersect[Ac(m + 1), Ry(m), 2], m, 1, n]}) → AP2
  21. Sequence(Intersect[Ac(m), Ry(m), k], m, 1, n) → AP1
  22. Sequence(Angle[AP1(m), Lt(m), AP2(m)], m, 1, n) → Sudut
  23. Sum(Sudut) → α
  24. Reverse(Sort[ListPP]) → ListPPS
  25. Text(Sudut(1)) → TextA
  26. Text(Sudut(2)) → TextB
  27. Text(Sudut(5)) → TextE
  28. Text(Sudut(3)) → TextC
  29. Text(Sudut(4)) → TextD
  30. Text(Sudut(6)) → TextF
  31. Text(Sudut(7)) → TextG
  32. Text(Sudut(8)) → TextH
  33. Text(Sudut(9)) → TextI
  34. Text(Sudut(10)) → TextJ
  35. Zip({p, q}, p, Join[{{Tex1}, Sequence[Tex2 + (Text[m]), m, 2, n], {Tex3}}], q, Join[{Sudut, {α}}]) → TValue
  36. TableText(TValue, "hr|_") → ExAngle