MathPlotAI Logo MathPlotAI

Pentagon Construction by Mocha

Pentagon Construction by Mocha
Loading the math board and drawing, please wait…
2017-05-15 05:57
PolygonFunctionGeometric Construction
In collections Compass and Straightedge Constructions
This example demonstrates the construction of a pentagon. Key mathematical concepts include geometric construction and polygons. It utilizes commands such as Intersect, Point, Circle, Line, and Polygon in GeoGebra. Suitable for middle school and above students to learn about the properties and construction of polygons.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Circle(B, A) → d
  5. Intersect(c, d, 1) → C
  6. Intersect(c, d, 2) → D
  7. Line(A, B) → g
  8. Line(C, D) → f
  9. Intersect(g, f) → E
  10. Circle(E, A) → e
  11. Intersect(c, g, 2) → F
  12. Circle(B, F) → h
  13. Circle(F, B) → k
  14. Intersect(h, k, 2) → G
  15. Intersect(h, k, 1) → H
  16. Line(G, H) → i
  17. Intersect(c, i, 2) → I
  18. Line(I, E) → j
  19. Intersect(e, j, 2) → J
  20. Circle(I, J) → p
  21. Intersect(c, p, 2) → K
  22. Intersect(c, i, 1) → L
  23. Intersect(c, p, 1) → M
  24. Circle(K, L) → q
  25. Circle(M, L) → r
  26. Intersect(c, q, 2) → N
  27. Intersect(c, r, 2) → O
  28. Polygon(L, M, O, N, K) → poly1, l, m, o, n, k_1