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Interior Angle Sum of Polygons Demo

Interior Angle Sum of Polygons Demo
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2017-01-26 00:04
PolygonAngleGeometric Construction
This example demonstrates how to dynamically construct polygons of varying number of sides and calculate their interior angle sums. Key math concepts include polygons, interior angles, angle sum, and mathematical induction. Construction highlights involve commands like Polygon, Angle, and Slider from GeoGebra. Suitable for middle school and above mathematics education, helping students visually understand the patterns and formula derivation of polygon interior angle sums.

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