MathPlotAI Logo MathPlotAI

Ratios of Areas of 8-gons

Ratios of Areas of 8-gons
Loading the math board and drawing, please wait…
2019-04-01 13:43
PolygonTransformationGeometric Construction
This example demonstrates the ratios of areas of 8-gons. Key mathematical concepts include geometric transformations and geometric distribution. Using GeoGebra commands such as Polygon, LineBisector, and Intersect, 8-gons are constructed and their area ratios are calculated. Suitable for high school geometry education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 8) → poly1, f, D, E, F, G, H, g, h, i, j, k, l, m, C
  2. LineBisector(G, F) → n
  3. LineBisector(F, E) → p
  4. LineBisector(E, D) → q
  5. LineBisector(D, C) → r
  6. Intersect(n, k) → I
  7. Intersect(p, j) → J
  8. Intersect(q, i) → K
  9. Intersect(r, h) → L
  10. Intersect(n, g) → M
  11. Intersect(p, f) → N
  12. Intersect(q, m) → O
  13. Intersect(r, l) → P
  14. Intersect(n, p) → Q
  15. Circle(Q, I) → d
  16. Segment(F, E) → s
  17. Intersect(d, p, 2) → R
  18. Segment(Q, R) → t
  19. Polygon(N, M, 8) → poly2, a, T, U, V, W, Z, b, e, f_1, g_1, h_1, i_1, j_1, S
  20. Segment(Q, D) → k_1
  21. Intersect(e, k_1) → A_1
  22. Segment(Q, A_1) → l_1
  23. Segment(K, L) → m_1