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Rhombus, Square, Trapezoid

Rhombus, Square, Trapezoid
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2016-03-09 22:11
PolygonAngleGeometric Construction
This example demonstrates the geometric construction of a rhombus, square, and trapezoid. Key mathematical concepts include parallel lines, distance, angles, and diagonals. Using GeoGebra commands such as Circle, Intersect, Distance, Segment, and Angle, the properties of these shapes are visually illustrated. Suitable for middle and high school students learning geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(B, A) → d
  3. Intersect(c, d, 1) → C
  4. Intersect(c, d, 2) → D
  5. Distance(A, C) → distanceAC
  6. Segment(C, A) → a
  7. Segment(A, D) → b
  8. Segment(C, B) → e
  9. Segment(D, B) → f
  10. Distance(A, C) → g
  11. Distance(B, C) → distanceBC
  12. Distance(D, B) → distanceDB
  13. Distance(D, A) → distanceDA
  14. Angle(A, C, B) → α
  15. Angle(C, B, D) → β
  16. Angle(D, A, C) → ζ
  17. Angle(B, D, A) → δ
  18. Circle(E, 3.4242663447810293) → h
  19. Point(h) → F
  20. Circle(F, 3.490866199484813) → k
  21. Segment(E, F) → i
  22. OrthogonalLine(F, i) → j
  23. Intersect(k, j, 1) → G
  24. OrthogonalLine(E, i) → l
  25. Intersect(h, l, 1) → H
  26. OrthogonalLine(H, j) → m
  27. Distance(E, H) → distanceEH
  28. Distance(F, G) → distanceFG
  29. Distance(E, F) → distanceEF
  30. Distance(G, H) → distanceGH
  31. Angle(j, m) → η
  32. Circle(J, K) → p
  33. Point(p) → I
  34. Segment(J, K) → n
  35. Segment(J, I) → r
  36. Segment(I, K) → s
  37. Distance(I, J) → distanceIJ
  38. Distance(J, K) → distanceJK
  39. Distance(I, K) → distanceIK
  40. Point(n) → M
  41. Line(M, s) → q
  42. Intersect(q, r) → L
  43. Distance(L, I) → distanceLI
  44. Distance(M, K) → distanceMK
  45. Distance(L, M) → distanceLM
  46. Distance(I, K) → o