MathPlotAI Logo MathPlotAI

Parallelogram Properties by Katherine Hollywood

Parallelogram Properties by Katherine Hollywood
Loading the math board and drawing, please wait…
2016-02-25 01:15
PolygonAngleGeometric Construction
This example demonstrates the properties of a parallelogram. Key mathematical concepts include parallel lines, diagonals, and midpoints. Using GeoGebra commands such as Mirror, Polygon, and Segment, dynamic displays of parallelogram properties are shown. Suitable for middle school and above students for geometric construction.

GeoGebra Commands & Parameters

  1. Mirror(A, O) → M
  2. Mirror(P, O) → R
  3. Polygon(P, M, R, A) → poly1, b, c', b', c
  4. Segment(P, R) → PR
  5. Segment(M, A) → QS
  6. Segment(P, O) → a
  7. Segment(O, M) → d
  8. Segment(O, A) → e
  9. Segment(O, R) → f
  10. Angle(P, O, A) → α
  11. Segment(A, R) → g
  12. Segment(P, A) → h
  13. Angle(M, A, P) → β
  14. Angle(R, A, M) → γ
  15. Angle(P, M, R) → δ
  16. Angle(M, R, A) → ε
  17. Angle(poly1) → ζ, η, θ, ι
  18. Distance(R, M) → distanceRM
  19. Midpoint(R, M) →
  20. Distance(R, A) → distanceRA
  21. Midpoint(R, A) →
  22. Angle(M, A, R) → κ
  23. Angle(P, R, M) → λ