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Point in a Square

Point in a Square
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2016-01-29 19:50
PolygonCoordinate GeometryGeometric Construction
In collections Functions on the Domain of Space - Polygons
This example demonstrates placing a point inside a square. Key mathematical concepts include the properties of a square and the relationship between points. Using GeoGebra commands such as Point, Polygon, and PointIn, a square is constructed and the position of the point is determined. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Polygon(B, A, 4) → poly1, a, b, c, d, C, D
  3. PointIn(poly1) → E
  4. Intersect(e, poly1) → F, G
  5. Intersect(f, d) → H
  6. Intersect(f, b) → I
  7. Segment(E, H) → g
  8. Segment(E, F) → h
  9. Segment(E, I) → i
  10. Segment(E, G) → j
  11. Circle(J, g) → k
  12. Point(k) → K
  13. Circle(K, h) → p
  14. Point(p) → L
  15. Segment(J, K) → l
  16. Segment(K, L) → m
  17. Circle(L, i) → q
  18. Point(q) → M
  19. Segment(L, M) → n
  20. Circle(M, j) → r
  21. Point(r) → N
  22. Segment(M, N) → s
  23. Circle(O, g) → t
  24. Point(t) → P
  25. Circle(P, i) → c_1
  26. Point(c_1) → Q
  27. Segment(O, P) → a_1
  28. Segment(P, Q) → b_1
  29. Circle(Q, h) → d_1
  30. Point(d_1) → R
  31. Segment(Q, R) → e_1
  32. Circle(R, j) → f_1
  33. Point(f_1) → S
  34. Segment(R, S) → g_1
  35. Segment(E, D) → h_1
  36. Segment(E, C) → i_1
  37. Segment(E, A) → j_1
  38. Segment(E, B) → k_1
  39. Circle(O, h_1) → p_1
  40. Point(p_1) → T
  41. Circle(T, j_1) → q_1
  42. Point(q_1) → U
  43. Segment(O, T) → l_1
  44. Segment(T, U) → m_1
  45. Circle(U, i_1) → r_1
  46. Point(r_1) → V
  47. Circle(V, k_1) → s_1
  48. Point(s_1) → W
  49. Segment(U, V) → n_1
  50. Segment(V, W) → t_1
  51. Circle(J, h_1) → c_2
  52. Point(c_2) → Z
  53. Circle(Z, i_1) → d_2
  54. Point(d_2) → A_1
  55. Segment(J, Z) → a_2
  56. Segment(Z, A_1) → b_2
  57. Circle(A_1, j_1) → e_2
  58. Point(e_2) → B_1
  59. Circle(B_1, k_1) → f_2
  60. Point(f_2) → C_1
  61. Segment(A_1, B_1) → g_2
  62. Segment(B_1, C_1) → h_2