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Trapezoid Midsegment by Rebecca Rucker

Trapezoid Midsegment by Rebecca Rucker
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2016-10-25 02:01
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the properties and calculation of a trapezoid's midsegment. It involves core concepts like trapezoids, midsegments, linear regression, and subtraction. Construction uses commands such as Segment, Line, Point, Angle, Midpoint, and Slope to draw the trapezoid, calculate the midsegment, and analyze its relationship with the bases. Suitable for middle school and above students learning geometric properties and data analysis.

GeoGebra Commands & Parameters

  1. Segment(A, D) → a
  2. Segment(A, B) → b
  3. Line(B, a) → c
  4. Point(c) → C
  5. Segment(D, C) → d
  6. Segment(B, C) → e
  7. Angle(D, A, B) → α
  8. Angle(A, B, C) → β
  9. Angle(B, C, D) → γ
  10. Angle(C, D, A) → δ
  11. Midpoint(A, B) → E
  12. Midpoint(D, C) → F
  13. Segment(E, F) → f
  14. Line(B, C) → h
  15. Line(E, F) → i
  16. Line(A, D) → j
  17. Slope(e) → SlopeBC
  18. Slope(f) → SlopeEF
  19. Slope(a) → SlopeAD