Drawing Triangles, Rectangles, and Rhombuses

Drawing Triangles, Rectangles, and Rhombuses
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2016-12-06 02:54
This example demonstrates how to draw triangles, rectangles, and rhombuses using GeoGebra. It covers the basic properties of these shapes and how to construct them using GeoGebra commands such as Segment, OrthogonalLine, Point, etc. Suitable for middle and high school students learning geometric construction and basic shape properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → C
  5. Line(C, f) → i
  6. Intersect(i, h) → D
  7. Segment(C, A) → j
  8. Segment(C, D) → k
  9. Segment(D, B) → l
  10. Angle(D, B, A) → α
  11. Angle(A, C, D) → γ
  12. Segment(C, B) → m
  13. Segment(D, A) → n
  14. Intersect(m, n) → E
  15. Angle(C, E, A) → β
  16. Angle(D, E, C) → δ
  17. Angle(B, A, E) → ε
  18. Angle(E, A, C) → ζ
  19. Distance(C, E) → distanceCE
  20. Distance(D, E) → distanceDE
  21. Distance(B, E) → distanceBE
  22. Distance(E, A) → distanceEA
  23. Segment(F, G) → p
  24. OrthogonalLine(F, p) → q
  25. OrthogonalLine(G, p) → r
  26. Circle(F, G) → c
  27. Intersect(c, q) → H, I
  28. Line(I, p) → s
  29. Intersect(s, r) → J
  30. Segment(I, F) → t
  31. Segment(I, J) → a
  32. Segment(J, G) → b
  33. Angle(G, F, I) → η
  34. Angle(I, J, G) → θ
  35. Segment(I, G) → d
  36. Segment(J, F) → e
  37. Intersect(d, e) → K
  38. Angle(K, I, J) → ι
  39. Angle(F, I, K) → κ
  40. Distance(I, K) → distanceIK
  41. Distance(K, J) → distanceKJ
  42. Distance(F, K) → distanceFK
  43. Distance(K, G) → distanceKG
  44. Angle(F, K, G) → λ
  45. Segment(L, M) → f_1
  46. Circle(L, M) → c_1
  47. Point(c_1) → N
  48. Segment(N, L) → g_1
  49. Circle(N, Radius[c_1]) → d_1
  50. Circle(M, Radius[c_1]) → e_1
  51. Intersect(d_1, e_1) → O, P, ,
  52. Segment(N, O) → h_1
  53. Segment(M, O) → i_1
  54. Angle(M, L, N) → μ
  55. Angle(L, N, O) → ν
  56. Angle(O, M, L) → ξ
  57. Angle(N, O, M) → ο
  58. Segment(N, M) → j_1
  59. Segment(L, O) → k_1
  60. Intersect(j_1, k_1) → Q
  61. Distance(N, Q) → distanceNQ
  62. Midpoint(N, Q) →
  63. Distance(M, Q) → distanceMQ
  64. Midpoint(M, Q) →
  65. Distance(Q, L) → distanceQL
  66. Midpoint(Q, L) →
  67. Distance(Q, O) → distanceQO
  68. Midpoint(Q, O) →
  69. Angle(O, Q, N) → ρ
  70. Angle(M, L, Q) → σ
  71. Angle(Q, L, N) → τ
  72. Angle(L, N, Q) → υ
  73. Angle(Q, N, O) → ϕ