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Trapezoid Midsegment by Josh Winicki

Trapezoid Midsegment by Josh Winicki
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2015-12-10 00:13
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the property of the midsegment of a trapezoid: the midsegment is the mean of the two bases. Key mathematical concepts include trapezoid, midpoint, and distance. Using GeoGebra commands such as Line, Segment, Point, Midpoint, and Distance, the construction process of the midsegment is visually illustrated. Suitable for students at the junior high school level and above to learn geometric construction and related properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Segment(A, C) → c
  4. Point(b) → D
  5. Segment(B, D) → d
  6. Midpoint(c) → E
  7. Midpoint(d) → F
  8. Distance(C, D) → distanceCD
  9. Distance(A, B) → distanceAB
  10. Segment(E, F) → e
  11. Distance(E, F) → distanceEF
  12. Segment(C, D) → f
  13. Segment(A, B) → g