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Inequality Geometric Construction

Inequality Geometric Construction
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2013-04-10 01:39
VectorInequalityGeometric Construction
In collections Square Translation Tessalation
This example demonstrates the concept of inequalities through geometric construction. Key mathematical concepts include inequalities, geometric construction, and vectors. Using commands like Polygon, Segment, Vector, and Translate in GeoGebra, users can visually understand the geometric meaning of inequalities. Suitable for middle school and above students learning inequalities and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Segment(C, E) → e
  3. Segment(E, F) → f
  4. Segment(F, G) → g
  5. Segment(G, H) → h
  6. Segment(H, I) → i
  7. Segment(I, J) → j
  8. Segment(J, B) → k
  9. Vector(C, D) → u
  10. Translate(B, u) → B'
  11. Translate(C, u) → C'
  12. Segment(B', C') → b'
  13. Translate(C, u) → C'_1
  14. Translate(E, u) → E'
  15. Segment(C'_1, E') → e'
  16. Translate(E, u) → E'_1
  17. Translate(F, u) → F'
  18. Segment(E'_1, F') → f'
  19. Translate(F, u) → F'_1
  20. Translate(G, u) → G'
  21. Segment(F'_1, G') → g'
  22. Translate(G, u) → G'_1
  23. Translate(H, u) → H'
  24. Segment(G'_1, H') → h'
  25. Translate(H, u) → H'_1
  26. Translate(I, u) → I'
  27. Segment(H'_1, I') → i'
  28. Translate(I, u) → I'_1
  29. Translate(J, u) → J'
  30. Segment(I'_1, J') → j'
  31. Translate(J, u) → J'_1
  32. Translate(B, u) → B'_1
  33. Segment(J'_1, B'_1) → k'
  34. Segment(D, K) → l
  35. Segment(K, L) → m
  36. Segment(L, M) → n
  37. Segment(M, N) → p
  38. Segment(N, O) → q
  39. Segment(O, P) → r
  40. Segment(P, Q) → s
  41. Segment(Q, R) → t
  42. Segment(R, C) → a_1
  43. Vector(D, A) → v
  44. Translate(C, v) → C'_2
  45. Translate(D, v) → D'
  46. Segment(C'_2, D') → c'
  47. Translate(D, v) → D'_1
  48. Translate(K, v) → K'
  49. Segment(D'_1, K') → l'
  50. Translate(K, v) → K'_1
  51. Translate(L, v) → L'
  52. Segment(K'_1, L') → m'
  53. Translate(L, v) → L'_1
  54. Translate(M, v) → M'
  55. Segment(L'_1, M') → n'
  56. Translate(M, v) → M'_1
  57. Translate(N, v) → N'
  58. Segment(M'_1, N') → p'
  59. Translate(N, v) → N'_1
  60. Translate(O, v) → O'
  61. Segment(N'_1, O') → q'
  62. Translate(O, v) → O'_1
  63. Translate(P, v) → P'
  64. Segment(O'_1, P') → r'
  65. Translate(P, v) → P'_1
  66. Translate(Q, v) → Q'
  67. Segment(P'_1, Q') → s'
  68. Translate(Q, v) → Q'_1
  69. Translate(R, v) → R'
  70. Segment(Q'_1, R') → t'
  71. Translate(R, v) → R'_1
  72. Translate(C, v) → C'_3
  73. Segment(R'_1, C'_3) → b_1
  74. Translate(u, v) → u'

AI Drawing Prompt Reference

Draw a geometric construction of an inequality. Start by drawing quadrilateral ABCD. Then, from points C, E, F, G, H, I, and J, draw a series of parallel line segments in the direction of vector CD to form a closed polygon. Next, draw vector DA and from points C and D, draw a series of parallel line segments in the direction of vector DA to form another closed polygon.
The prompt above was compiled from the original drawing commands and is for reference only.