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Quadrilateral A

Quadrilateral A
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2016-02-19 01:00
PolygonAngleGeometric Construction
In collections Is it a Parallelogram?
This example demonstrates how to determine if a quadrilateral is a parallelogram by dragging its vertices and explaining the answer using precise geometric terms. It uses GeoGebra commands such as point, segment, line bisector, and polygon. Suitable for middle school and above students to learn geometric concepts.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 5]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, 5]) → C
  4. Segment(A, C) → b
  5. Segment(C, B) → c
  6. LineBisector(c) → d
  7. Point(d) → D
  8. Segment(C, D) → e
  9. Segment(B, D) → f
  10. Polygon(A, C, D, B) → poly1, a_1, c_1, d_1, b_1
  11. Segment(A, D) → g
  12. Segment(C, B) → h
  13. Intersect(g, h) → E
  14. Angle(A, B, E) → α
  15. Angle(E, B, D) → β
  16. Angle(E, D, C) → γ
  17. Angle(E, C, A) → δ
  18. Angle(E, A, B) → ε
  19. Angle(A, B, E) → ζ
  20. Angle(B, D, E) → η
  21. Angle(D, C, E) → θ
  22. Angle(C, A, E) → ι
  23. Angle(A, E, C) → κ
  24. Angle(D, E, B) → λ
  25. Angle(B, E, A) → μ
  26. Angle(C, E, D) → ν