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Isosceles Trapezoid by Caitlin Kennedy

Isosceles Trapezoid by Caitlin Kennedy
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2016-01-14 00:16
PolygonAngleGeometric Construction
This example demonstrates the construction of an isosceles trapezoid, a special type of trapezoid with equal non-parallel sides. Using GeoGebra commands such as Line, Mirror, and Polygon, the properties of the isosceles trapezoid are visually illustrated. This example is suitable for students at the middle school level and above to learn geometric construction and the properties of trapezoids.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Mirror(I, a) → P
  3. Mirror(S, a) → T
  4. Polygon(I, S, T, P) → poly1, c, d, d', c'
  5. Segment(I, T) → PS
  6. Segment(P, S) → IT
  7. Intersect(PS, IT) → O
  8. Angle(I, O, S) → α
  9. Segment(I, O) → b
  10. Segment(P, O) → e
  11. Segment(T, O) → f
  12. Segment(S, O) → g
  13. Angle(T, S, I) → β
  14. Angle(S, I, P) → γ
  15. Angle(I, P, T) → δ
  16. Angle(P, T, S) → ε
  17. Segment(I, P) → h