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Constructing Parallelograms by Constructing Diagonals

Constructing Parallelograms by Constructing Diagonals
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2018-07-31 08:06
PolygonAngleGeometric Construction
In collections Geom. & Alg. Quadrilateral & Polygons
This example demonstrates how to construct a parallelogram by constructing its diagonals. Key mathematical concepts include the properties of parallelograms. Construction involves using commands such as Circle, Line, Intersect, Segment, Angle, and Distance. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(A, C) → d
  3. Line(C, A) → f
  4. Intersect(d, f, 2) → D
  5. Line(B, A) → g
  6. Intersect(c, g, 2) → E
  7. Segment(C, B) → h
  8. Segment(B, D) → i
  9. Segment(D, E) → j
  10. Segment(E, C) → k
  11. Angle(B, A, C) → α
  12. Distance(k, h) → a
  13. Distance(A, B) → distanceAB
  14. Distance(E, A) → distanceEA
  15. Distance(A, C) → distanceAC
  16. Distance(A, D) → distanceAD
  17. Distance(A, E) → distanceAE
  18. Angle(D, E, C) → β
  19. Angle(E, C, B) → γ
  20. Angle(C, B, D) → δ
  21. Angle(B, D, E) → ε