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Diagonals of Isosceles Trapezoid by Gail Kliewer

Diagonals of Isosceles Trapezoid by Gail Kliewer
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2016-03-31 00:02
PolygonTrigonometryGeometric Construction
This example demonstrates the properties of the diagonals of an isosceles trapezoid. Key mathematical concepts include the definition and properties of an isosceles trapezoid. Construction highlights include using GeoGebra commands to create the isosceles trapezoid and its diagonals, measuring the lengths of the diagonals, and labeling them. Suitable for middle school and above students or teachers for teaching purposes.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Line(C, a) → c
  4. Circle(A, C) → d
  5. Circle(B, 2.98) → e
  6. Intersect(e, c, 1) → D
  7. Segment(C, D) → f
  8. Segment(D, B) → g
  9. Segment(C, B) → h
  10. Segment(D, A) → i
  11. Intersect(h, i) → E
  12. Distance(D, E) → distanceDE
  13. Distance(E, A) → distanceEA
  14. Distance(C, E) → distanceCE
  15. Distance(E, B) → distanceEB
  16. Segment(F, G) → j
  17. Circle(F, 2.5) → k
  18. Circle(G, 2.5) → p
  19. Intersect(k, p, 1) → H
  20. Line(H, j) → l
  21. Circle(F, 2) → q
  22. Circle(G, 2) → r
  23. Intersect(q, l, 2) → I
  24. Intersect(r, l, 1) → J
  25. Segment(F, I) → m
  26. Segment(I, J) → n
  27. Segment(J, G) → s
  28. Segment(G, I) → t
  29. Segment(J, F) → a_1
  30. Intersect(t, a_1) → K
  31. Angle(J, K, I) → α
  32. Angle(I, K, F) → β
  33. Angle(F, K, G) → γ
  34. Angle(G, K, J) → δ