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Trapezoid Properties

Trapezoid Properties
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2017-10-10 20:33
PolygonAngleGeometric Construction
This example demonstrates the properties of a trapezoid through geometric construction, involving key mathematical concepts such as the definition, height, and midline of a trapezoid. It uses GeoGebra commands like Segment, Point, Line, Polygon, OrthogonalLine, Intersect, CircleArc, and Angle. Suitable for students at the junior high school level and above to learn about trapezoid properties.

GeoGebra Commands & Parameters

  1. Segment(A_1, B_1) → a
  2. Segment(C_1, D_1) → b
  3. Point(Circle[E, h_1]) → F
  4. Segment(E, F) → h_2
  5. Line(F, a) → d
  6. Point(d) → G
  7. Point(d) → H
  8. Segment(G, H) → e
  9. Point(e) → D
  10. Point(a) → A
  11. Segment(D, A) → f
  12. Point(b) → B
  13. Segment(A, B) → g
  14. Point(d) → L
  15. Point(d) → M
  16. Segment(L, M) → i
  17. Point(i) → C
  18. Segment(D, C) → j
  19. Segment(C, B) → k
  20. Polygon(A, B, C, D) → poly1, j_1, k_1, n, i_1
  21. OrthogonalLine(D, g) → l
  22. Intersect(l, g) → I
  23. Point(g) → J
  24. Point(h_2) → N
  25. CircleArc(E, K, N) → c
  26. Segment(A, C) → r
  27. Segment(D, B) → s
  28. Angle(poly1) → α, β, γ, δ
  29. OrthogonalLine(D, g) → t
  30. Intersect(g, j_1) → O
  31. Intersect(g, j_1) → P
  32. Intersect(t, g) → Q
  33. Segment(D, Q) → h