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Isosceles Trapezoid by Steve Weissburg

Isosceles Trapezoid by Steve Weissburg
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2017-01-14 21:12
PolygonAngleVectorGeometric Construction
This example demonstrates the geometric construction and properties of an isosceles trapezoid. Key math concepts include polygons, angles, vectors, reflection symmetry, and the Pythagorean theorem. Construction highlights involve using GeoGebra commands and objects like Line, Segment, Mirror, Polygon, and Angle. Suitable for middle school and above students to learn geometric characteristics and transformation applications of isosceles trapezoids.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Segment(P, D) → g
  3. Mirror(P, f) → C'
  4. Mirror(D, f) → D'
  5. Segment(C', D') → g'
  6. Polygon(P, D, D', C') → q1, c, d, d', c'
  7. Angle(D', D, P) → α
  8. Angle(D, P, C') → β
  9. Angle(P, C', D') → γ
  10. Angle(C', D', D) → δ
  11. Segment(P, D') → h
  12. Segment(D, C') → i