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Constructing a Trapezoid

Constructing a Trapezoid
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2018-09-15 12:01
PolygonCoordinate GeometryGeometric Construction
This example demonstrates how to construct a trapezoid using GeoGebra. Key math concepts involved include line segments, angles, polygons, midsegment, congruence, and slope. Construction highlights: using Segment, LineBisector, Point, Polygon, Line, Intersect, and Angle commands. Suitable for middle school students and educators.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. LineBisector(f) → g
  3. Point(g) → C
  4. Polygon(C, A, B) → t1, b, c, a
  5. Point(f) → D
  6. Point(g) → E
  7. Line(E, f) → h
  8. Intersect(h, b) → F
  9. Intersect(h, a) → G
  10. Polygon(F, A, B, G) → q1, f_1, a_1, b_1, g_1
  11. Angle(F, G, B) → α
  12. Angle(A, F, G) → β
  13. Angle(F, A, B) → γ
  14. Angle(A, B, G) → δ