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Trapezoid Construction by Peter Myers

Trapezoid Construction by Peter Myers
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2019-10-24 23:21
PolygonAngleGeometric Construction
In collections Geometric Shapes
This example demonstrates the construction of a trapezoid. Key mathematical concepts include parallel lines, angles, and distances. Using GeoGebra commands such as Segment (line segment), OrthogonalLine (perpendicular line), Point (point), Intersect (intersection), Distance (distance), and Angle (angle), a trapezoid can be constructed and its side lengths and angles measured. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → C
  5. OrthogonalLine(C, g) → i
  6. Intersect(h, i) → D
  7. Segment(C, D) → j
  8. Point(j) → E
  9. Point(j) → F
  10. Segment(E, F) → k
  11. Segment(A, E) → l
  12. Segment(B, F) → m
  13. Distance(E, F) → distanceEF
  14. Distance(E, A) → distanceEA
  15. Distance(A, B) → distanceAB
  16. Distance(F, B) → distanceFB
  17. Angle(A, E, F) → α
  18. Angle(E, F, B) → β
  19. Angle(A, B, F) → γ
  20. Angle(E, A, B) → δ