MathPlotAI Logo MathPlotAI

Step 5 Geometry Construction

Step 5 Geometry Construction
Loading the math board and drawing, please wait…
2017-03-29 07:35
PolygonVectorSolid GeometryGeometric Construction
This example demonstrates the construction of geometric figures like pyramids, parallelograms, and tangent lines using GeoGebra. It involves core concepts such as polygon construction, vector operations, tangent line determination, perimeter calculation, and square properties. Key GeoGebra commands and objects used include Segment, OrthogonalLine, Point, Intersect, Vector, Translate, Polygon, Circle, and Semicircle. Suitable for high school mathematics education, helping students understand the connection between spatial and planar geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → C
  5. OrthogonalLine(C, g) → i
  6. Intersect(h, i) → D
  7. Segment(A, B) → j
  8. Segment(A, C) → k
  9. Segment(C, D) → l
  10. Segment(B, D) → m
  11. Segment(A, E) → n
  12. Segment(F, E) → p
  13. Segment(F, G) → q
  14. Segment(H, G) → r
  15. Segment(H, B) → s
  16. Vector(A, C) → u
  17. Translate(A, u) → A'
  18. Translate(E, u) → E'
  19. Segment(A', E') → n'
  20. Translate(F, u) → F'
  21. Translate(E, u) → E'_1
  22. Segment(F', E'_1) → p'
  23. Translate(F, u) → F'_1
  24. Translate(G, u) → G'
  25. Segment(F'_1, G') → q'
  26. Translate(H, u) → H'
  27. Translate(G, u) → G'_1
  28. Segment(H', G'_1) → r'
  29. Translate(H, u) → H'_1
  30. Translate(B, u) → B'
  31. Segment(H'_1, B') → s'
  32. Segment(A, I) → t
  33. Segment(I, J) → a
  34. Segment(J, K) → b
  35. Segment(K, L) → c
  36. Segment(L, M) → d
  37. Segment(N, O) → e
  38. Segment(P, C) → f_1
  39. Vector(A, B) → v
  40. Translate(A, v) → A'_1
  41. Translate(I, v) → I'
  42. Segment(A'_1, I') → t'
  43. Translate(I, v) → I'_1
  44. Translate(J, v) → J'
  45. Segment(I'_1, J') → a'
  46. Translate(J, v) → J'_1
  47. Translate(K, v) → K'
  48. Segment(J'_1, K') → b'
  49. Translate(K, v) → K'_1
  50. Translate(L, v) → L'
  51. Segment(K'_1, L') → c'
  52. Translate(L, v) → L'_1
  53. Translate(M, v) → M'
  54. Segment(L'_1, M') → d'
  55. Translate(N, v) → N'
  56. Translate(O, v) → O'
  57. Segment(N', O') → e'
  58. Translate(P, v) → P'
  59. Translate(C, v) → C'
  60. Segment(P', C') → g_1
  61. Segment(M, N) → h_1
  62. Segment(M, N) → i_1
  63. Segment(O, P) → j_1
  64. Segment(M, N) → k_1
  65. Segment(M', N') → l_1
  66. Segment(P', O') → m_1
  67. Polygon(F, E, P, C, E', F', G', H', D, P', O', N', A, M', L', K', J', I', B, H, G, I, J, K, L, M, N, O) → poly1, f_2, o, p_1, c_1, e'_1, f', g', h', d_1, p'_1, o', e_1, n'_1, m', l', k', j', i', b_1, h_2, g_2, a_1, i_2, j_2, k_2, l_2, m_2, n_1
  68. Circle(Q, S) → q_1
  69. Circle(R, T) → r_1
  70. Semicircle(U, V) → s_1
  71. Segment(V, U) → t_1
  72. Segment(V, U) → n_{2}