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Square, Rectangle, Kite, Trapezoid

Square, Rectangle, Kite, Trapezoid
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2016-05-24 09:20
PolygonAngleGeometric Construction
This example demonstrates the construction of a square, rectangle, kite, and trapezoid. Key mathematical concepts include geometric construction, angles, and segments. Using GeoGebra commands such as Line, OrthogonalLine, Circle, and Intersect, these shapes can be dynamically constructed. Suitable for middle and high school students learning geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Circle(A, B) → c
  5. Circle(B, A) → d
  6. Intersect(c, g, 2) → C
  7. Intersect(d, h, 2) → D
  8. Segment(A, C) → i
  9. Segment(C, D) → j
  10. Segment(D, B) → k
  11. Segment(B, A) → l
  12. Segment(E, F) → m
  13. OrthogonalLine(E, m) → n
  14. OrthogonalLine(F, m) → p
  15. Point(n) → G
  16. Circle(E, Segment[E, G]) → e
  17. Circle(F, Radius[e]) → q
  18. Intersect(q, p, 2) → H
  19. Segment(E, G) → r
  20. Segment(G, H) → s
  21. Segment(H, F) → t
  22. Segment(F, E) → a
  23. Segment(I, J) → b
  24. Circle(J, I) → c_1
  25. Point(c_1) → K
  26. Segment(I, J) → f_1
  27. Segment(J, K) → g_1
  28. AngularBisector(I, J, K) → h_1
  29. Point(h_1) → L
  30. Segment(I, L) → i_1
  31. Segment(L, K) → j_1
  32. Segment(M, N) → k_1
  33. Line(O, k_1) → l_1
  34. Point(l_1) → P
  35. Segment(M, O) → m_1
  36. Segment(M, N) → n_1
  37. Segment(N, P) → p_1
  38. Segment(P, O) → q_1