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Interior Angle Sum of Polygons

Interior Angle Sum of Polygons
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2017-01-26 00:08
TrianglePolygonAngleGeometric Construction
This example dynamically demonstrates the relationship between polygons and triangles to visually show the calculation method of the sum of interior angles of polygons. Core mathematical concepts include polygons, triangles, the sum of interior angles theorem, and analytical geometry construction. Using GeoGebra commands like Polygon, Angle, and Segment, it achieves the division of polygons into triangles, angle measurement, and calculation, making it suitable for middle school and above mathematics education to help students understand the sum of interior angles theorem and its applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Angle(B, A, C) → α
  3. Angle(A, C, B) → β
  4. Angle(C, B, A) → γ
  5. Polygon(D, E, F, G) → poly2, d, e, f, g
  6. Polygon(H, I, J, K, L) → poly3, h, i, j, k, l
  7. Polygon(M, N, O, P, Q, R) → poly4, m, n, o, p, q, r
  8. Angle(E, D, G) → ε
  9. Angle(D, G, F) → ζ
  10. Angle(G, F, E) → η
  11. Angle(F, E, D) → θ
  12. Angle(I, H, L) → ι
  13. Angle(H, L, K) → κ
  14. Angle(K, J, I) → λ
  15. Angle(L, K, J) → μ
  16. Angle(J, I, H) → ν
  17. Angle(R, M, N) → ξ
  18. Angle(M, N, O) → ο
  19. Angle(N, O, P) → ρ
  20. Angle(P, Q, R) → σ
  21. Angle(O, P, Q) → τ
  22. Angle(Q, R, M) → υ
  23. Segment(E, G) → s
  24. Segment(I, K) → t
  25. Segment(I, L) → f_1
  26. Segment(R, N) → g_1
  27. Segment(R, O) → h_1
  28. Segment(R, P) → i_1