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Isosceles Trapezoid Construction by Wes Dunnavant

Isosceles Trapezoid Construction by Wes Dunnavant
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2017-05-22 10:29
PolygonAngleGeometric Construction
This example demonstrates how to construct an isosceles trapezoid using GeoGebra. Key mathematical concepts include geometric construction, polygons, and angles. Using commands such as Line, Polygon, OrthogonalLine, Intersect, Segment, Circle, and Angle, an isosceles trapezoid can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Point(g) → D
  4. Polygon(A, B, C, D) → poly1, b_1, b, b_2, d
  5. OrthogonalLine(A, b_2) → h_1
  6. Intersect(g, h_1) → E
  7. Segment(A, E) → h
  8. Point(g) → A'
  9. Circle(A', Segment[A, B]) → e
  10. Point(f) → D'
  11. Circle(D', Segment[D, C]) → k
  12. Polygon(A', C, B, D') → poly2, a', c_1, b_3, d'
  13. Angle(A, E, D) → α