MathPlotAI Logo MathPlotAI

Interior Angles of Polygons by Karis

Interior Angles of Polygons by Karis
Loading the math board and drawing, please wait…
2018-05-10 19:44
PolygonAngleGeometric Construction
This example demonstrates the properties and calculation methods of interior angles in polygons. It involves core mathematical concepts such as the sum of interior angles theorem, angle calculation, and geometric constructions. The construction uses GeoGebra commands/objects like Segment and Angle. Suitable for middle school students and above for learning polygon geometry and for educational demonstrations.

GeoGebra Commands & Parameters

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