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Classifying Polygons by Jerel Welker

Classifying Polygons by Jerel Welker
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2017-09-06 21:17
PolygonAngleGeometric Construction
This example demonstrates how to classify polygons based on edge count and angle properties. It involves core math concepts like polygon definitions, angle measurement, quadrilateral characteristics, fraction operations, and integral calculus. Construction uses commands such as Segment, OrthogonalLine, Point, Angle, Circle, Intersect, Line, Polygon. Suitable for high school mathematics teaching, focusing on geometric construction and classification exercises.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Segment(D, E) → i
  5. OrthogonalLine(D, i) → j
  6. Point(j) → F
  7. Segment(F, E) → k
  8. Segment(F, D) → l
  9. Angle(E, D, F) → α
  10. Segment(G, H) → m
  11. Circle(G, H) → c
  12. Circle(H, G) → d
  13. Intersect(c, d, 1) → I
  14. Segment(I, G) → n
  15. Segment(I, H) → p
  16. Segment(J, K) → q
  17. Circle(J, K) → e
  18. Point(e) → L
  19. Segment(J, L) → r
  20. Line(L, q) → s
  21. Line(K, r) → t
  22. Intersect(s, t) → M
  23. Segment(L, M) → a
  24. Segment(M, K) → b
  25. Segment(N, O) → f_1
  26. OrthogonalLine(N, f_1) → g_1
  27. Point(g_1) → P
  28. OrthogonalLine(P, g_1) → h_1
  29. OrthogonalLine(O, f_1) → i_1
  30. Intersect(h_1, i_1) → Q
  31. Segment(Q, P) → j_1
  32. Segment(Q, O) → k_1
  33. Segment(N, P) → l_1
  34. Segment(R, S) → m_1
  35. OrthogonalLine(S, m_1) → n_1
  36. Circle(S, R) → c_1
  37. Intersect(c_1, n_1, 2) → T
  38. Segment(T, S) → p_1
  39. Circle(T, S) → d_1
  40. Circle(R, S) → e_1
  41. Intersect(d_1, e_1, 2) → U
  42. Segment(T, U) → q_1
  43. Segment(U, R) → r_1
  44. Segment(V, W) → s_1
  45. Line(Z, s_1) → t_1
  46. Segment(Z, W) → a_1
  47. Point(t_1) → A_1
  48. Segment(V, A_1) → b_1
  49. Segment(A_1, Z) → f_2
  50. Segment(B_1, C_1) → g_2
  51. Segment(C_1, D_1) → h_2
  52. Segment(D_1, E_1) → i_2
  53. Segment(E_1, F_1) → j_2
  54. Segment(F_1, B_1) → k_2
  55. Polygon(G_1, H_1, 5) → poly1, l_2, m_2, n_2, p_2, q_2, I_1, J_1, K_1

AI Drawing Prompt Reference

Draw a polygon by starting with three segments to form a triangle, then add a segment connecting one vertex to the midpoint of the opposite side to create a quadrilateral. Next, draw circles with diameters as two sides of the quadrilateral, connect their intersections to form a new quadrilateral. Repeat this process with the new quadrilateral to form another, and finally create the final geometric shape by connecting intersections of circles drawn from its sides, highlighting polygonal edge counts and angle properties.
The prompt above was compiled from the original drawing commands and is for reference only.