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Parallelogram Construction by Jim Moser

Parallelogram Construction by Jim Moser
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2017-04-18 10:26
PolygonAngleGeometric Construction
This example demonstrates the geometric properties of a parallelogram. Key mathematical concepts include the definition and properties of a parallelogram, as well as angle relationships. Using GeoGebra commands such as Line, Intersect, and Segment, a dynamic parallelogram can be constructed and its side lengths and angles can be observed. Suitable for middle school and above students and teachers.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(A, C) → g
  3. Line(C, f) → h
  4. Line(B, g) → i
  5. Intersect(h, i) → D
  6. Segment(A, C) → j
  7. Segment(C, D) → k
  8. Segment(D, B) → l
  9. Segment(B, A) → m
  10. Angle(C, A, B) → α
  11. Angle(D, C, A) → β
  12. Angle(B, D, C) → γ
  13. Angle(A, B, D) → δ
  14. Segment(A, D) → n
  15. Segment(C, B) → p
  16. Intersect(n, p) → E
  17. Segment(A, E) → q
  18. Segment(E, B) → r
  19. Segment(E, C) → s
  20. Segment(E, D) → t
  21. Angle(B, E, A) → ε