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Properties and Transformations of a Rhombus

Properties and Transformations of a Rhombus
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2017-03-29 07:34
VectorGeometric Construction
In collections Tessellations
This example demonstrates the properties and transformations of a rhombus. Key mathematical concepts include the symmetry, midlines, and least common multiple of a rhombus. Using GeoGebra commands such as Segment, OrthogonalLine, Point, and Intersect, the construction process of the rhombus is shown. Suitable for students at the junior high school level and above to learn about geometric transformations and the properties of rhombuses.

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(N, M) → h_1
  62. Segment(O, P) → i_1
  63. Segment(M', N') → j_1
  64. Segment(O', P') → k_1