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Ed's Trapezium Construction: Geometric Construction and Trigonometric Functions

Ed's Trapezium Construction: Geometric Construction and Trigonometric Functions
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2015-09-17 17:45
CircleTrigonometryGeometric Construction
Ed's Trapezium Construction demonstrates how to create a trapezium using geometric construction methods and apply trigonometric functions. Key mathematical concepts include circles, conic sections, trigonometric functions, and geometric construction. Construction involves using GeoGebra commands such as Circle, Intersect, Arc, Rotate, etc. Suitable for middle or high school mathematics learning to understand the application of geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Intersect(xAxis, yAxis) → O
  3. Arc(c, 0, 1.5707963267948966) → f
  4. Rotate(T1, Θ, O) → T
  5. Segment(O, T) → a
  6. Ray(B, u) → b
  7. Tangent(T, c) → d,
  8. Intersect(d, e) → P
  9. Intersect(b, d) → Q
  10. Polygon(O, P, Q, B) → poly1, o, p, q, b_1
  11. Angle(P, O, T) → θ
  12. Vector(O, B + (0, 0.4)) → v
  13. Angle(O, T, P) → α
  14. Vector(O, (1.8, 0)) → w