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Trapezoid Comparison and Measurement

Trapezoid Comparison and Measurement
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2017-01-20 23:51
PolygonVectorCoordinate Geometry
This example demonstrates the comparison and measurement of trapezoids. It involves core mathematical concepts like polygons, vectors, geometric transformations, and coordinate geometry. Construction highlights include using GeoGebra commands such as Point, UnitOrthogonalVector, UnitVector, Polygon, Rotate, and Angle. Suitable for high school mathematics education to understand trapezoid properties and transformation applications.

GeoGebra Commands & Parameters

  1. Point(Circle[A_1, ruler]) → A_6
  2. UnitOrthogonalVector(Segment[A_1, A_6]) → v
  3. UnitVector(Segment[A_1, A_6]) → u
  4. Polygon(A_1, A_2, A_3, A_4, A_5, A_6) → poly6, a_3, a_4, a_5, a_6, a_7, a_8
  5. Point(Circle[A, 6.0827625302982185]) → B
  6. Polygon(A, B, C, D) → poly1, a, b, c, d
  7. Rotate(Translate[A, Vector[O, O']], θ, O') → A'
  8. Rotate(Translate[B, Vector[O, O']], θ, O') → B'
  9. Rotate(Translate[C, Vector[O, O']], θ, O') → C'
  10. Rotate(Translate[D, Vector[O, O']], θ, O') → D'
  11. Polygon(O', A', B', C', D', A') → poly2, e, f, g, h, i, j
  12. Angle(B, A, D) → α
  13. Angle(C, B, A) → β
  14. Angle(D, C, B) → γ
  15. Angle(A, D, C) → δ
  16. Angle(B', A', D') → α'
  17. Angle(C', B', A') → β'
  18. Angle(D', C', B') → γ'
  19. Angle(A', D', C') → δ'
  20. Polygon(A', B', C', D') → poly3, a', b', c', d'
  21. Angle(B, A, D) → α_1
  22. Angle(B', A', D') → α'_1
  23. Angle(C, B, A) → β_1
  24. Angle(C', B', A') → β'_1
  25. Angle(D, C, B) → γ_1
  26. Angle(D', C', B') → γ'_1
  27. Angle(A, D, C) → δ_1
  28. Angle(A', D', C') → δ'_1