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Trapezoid Midsegment Theorem

Trapezoid Midsegment Theorem
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2019-01-14 08:53
PolygonAngleGeometric Construction
This example dynamically demonstrates the trapezoid midsegment theorem, showing the properties of the midsegment in a trapezoid. Key mathematical concepts include trapezoid, midsegment, and midpoint. Using GeoGebra commands such as Line, Segment, Point, and Midpoint, one can observe that the midsegment's length is half the sum of the two bases. Suitable for middle school and above students to explore geometric constructions and theorems.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(D, a) → b
  3. Segment(A, D) → c
  4. Point(b) → C
  5. Segment(B, C) → d
  6. Midpoint(c) → E
  7. Midpoint(d) → F
  8. Segment(E, F) → e
  9. Segment(A, B) → f
  10. Segment(D, C) → g
  11. Angle(F, E, A) → α
  12. Angle(C, D, E) → β
  13. Angle(E, A, B) → γ
  14. Segment(A, E) → AE
  15. Segment(B, F) → BF
  16. Segment(F, C) → FD
  17. Distance(BF, FD) → l
  18. Segment(E, D) → EC
  19. Polygon(D, A, B, C) → poly1, d_1, a_1, b_1, c_1
  20. Distance(D, C) → distanceDC
  21. Distance(E, F) → distanceEF
  22. Distance(A, B) → distanceAB