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Isosceles Trapezoid Construction by Steve Combs

Isosceles Trapezoid Construction by Steve Combs
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2015-11-12 21:58
PolygonTransformationGeometric Construction
This example demonstrates the construction of an isosceles trapezoid, a special type of trapezoid with equal non-parallel sides. Key construction commands include Segment, Line, Intersect, Circle, and Polygon. By adjusting sliders, dynamic properties of the isosceles trapezoid can be observed. Suitable for middle and high school students studying geometric constructions and trapezoid concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, D) → b
  3. Line(B, b) → c
  4. Line(D, a) → d
  5. Intersect(c, d) → D_1
  6. Circle(B, D_1) → e
  7. Intersect(e, d, 2) → C
  8. Segment(B, C) → f
  9. Segment(D, C) → g
  10. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d_1
  11. Segment(A, C) → h
  12. Segment(D, B) → i
  13. Intersect(h, i) → E