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Properties of an Isosceles Trapezoid by kherdegen

Properties of an Isosceles Trapezoid by kherdegen
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2016-10-27 02:16
PolygonAngleGeometric Construction
In collections Properties of Trapezoids and Kites
This example demonstrates the properties of an isosceles trapezoid. Key mathematical concepts include the definition of an isosceles trapezoid, symmetry, and angle relationships. Using GeoGebra commands such as Segment, Line, and Intersect, an isosceles trapezoid can be constructed and its properties observed. Suitable for students at the junior high school level and above for geometric construction and property exploration.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Line(C, f) → h
  4. Circle(B, Segment[A, C]) → c
  5. Intersect(c, h, 2) → D
  6. Segment(B, D) → i
  7. Segment(C, D) → j
  8. Angle(D, C, A) → α
  9. Angle(C, A, B) → β
  10. Angle(A, B, D) → γ
  11. Angle(B, D, C) → δ
  12. Segment(A, D) → k
  13. Segment(B, C) → l