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Properties of an Isosceles Trapezium

Properties of an Isosceles Trapezium
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2019-04-03 20:51
AngleGeometric Construction
In collections Geometry workbook
This example demonstrates the properties of an isosceles trapezium. An isosceles trapezium is a special type of trapezium with two equal sides. By constructing an isosceles trapezium, you can observe that its diagonals are equal, heights are equal, and base angles are equal. The GeoGebra commands used include: Line, LineBisector, Intersect, Ray, Point, Mirror, Segment, Angle. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. LineBisector(A, B) → h
  4. Intersect(g, h) → D
  5. Intersect(f, h) → E
  6. Ray(D, C) → i
  7. Point(i) → F
  8. Mirror(F, h) → F'
  9. Ray(E, A) → j
  10. Point(j) → G
  11. Mirror(G, h) → G'
  12. Segment(F, G) → k
  13. Segment(G, G') → l
  14. Segment(G', F') → m
  15. Segment(F', F) → n
  16. Angle(F, G, G') → α
  17. Angle(G, G', F') → β
  18. Angle(G', F', F) → γ
  19. Angle(G, F, F') → δ