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Trapezoid by Chuck DeVange

Trapezoid by Chuck DeVange
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2016-02-12 06:06
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the construction of a trapezoid. Key mathematical concepts include polygons and geometric construction. It uses commands like Line, Segment, Point, Intersect, and Polygon in GeoGebra. Suitable for middle school and above students to learn about trapezoid properties and geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Segment(A, B) → c
  4. Segment(B, C) → d
  5. Point(b) → D
  6. Segment(D, C) → e
  7. Segment(A, D) → f
  8. Segment(A, C) → g
  9. Segment(D, B) → h
  10. Intersect(g, h) → E
  11. Polygon(D, A, E) → poly1, e_1, d_1, a_1
  12. Polygon(B, E, C) → poly2, c_1, b_1, e_2
  13. Line(F, G) → i
  14. OrthogonalLine(F, i) → j
  15. OrthogonalLine(G, i) → k
  16. Point(k) → H
  17. OrthogonalLine(H, k) → l
  18. Intersect(j, l) → I
  19. Segment(F, G) → m
  20. Segment(G, H) → n
  21. Segment(H, I) → p
  22. Segment(I, F) → q
  23. Segment(F, H) → r
  24. Point(m) → J
  25. OrthogonalLine(J, m) → s
  26. Intersect(s, r) → K
  27. Intersect(s, r) → L
  28. OrthogonalLine(K, q) → t
  29. Intersect(s, p) → N
  30. Intersect(t, q) → O
  31. Intersect(t, n) → P
  32. Segment(J, N) → f_1
  33. Segment(O, P) → g_1
  34. Polygon(J, K, P, G) → poly3, j_1, k_1, p_1, g_2
  35. Polygon(O, K, N, I) → poly4, o, k_2, n_1, i_1