MathPlotAI Logo MathPlotAI

Properties of Parallelograms by William Gripentrog

Properties of Parallelograms by William Gripentrog
Loading the math board and drawing, please wait…
2016-10-31 19:39
PolygonAngleTransformationGeometric ConstructionSlider Animation
This example demonstrates the properties of parallelograms, including opposite sides being equal, opposite angles being equal, and diagonals bisecting each other. Using GeoGebra commands such as Rotate, Ray, Segment, Line, Intersect, Angle, and Polygon, the example dynamically shows the properties of parallelograms. Suitable for middle and high school students learning geometric construction and related properties.

GeoGebra Commands & Parameters

  1. Rotate(B_1, α, A) → E
  2. Rotate(B_1, α, D) → D_1
  3. Ray(D, D_1) → b
  4. Segment(A, B_1) → a
  5. Line(B, a) → f
  6. Intersect(b, f) → C
  7. Angle(A, C, D) → λ
  8. Angle(B_1, D, D_1) → β
  9. Angle(B_1, A, E) → γ
  10. Ray(A, E) → c
  11. Polygon(A, B, C, D) → P, a_1, g, f_1, c_1
  12. Segment(B, D) → h
  13. Segment(A, C) → i
  14. Intersect(h, i) → O
  15. Segment(B, O) → j
  16. Segment(O, D) → k
  17. Segment(A, O) → l
  18. Segment(O, C) → m
  19. Angle(C, O, B) → δ
  20. Angle(B, C, A) → ε
  21. Angle(D, A, C) → ζ
  22. Angle(A, B, C) → η
  23. Angle(C, D, A) → θ
  24. Angle(B, C, D) → ι
  25. Angle(D, A, B) → κ
  26. Angle(C, B, D) → μ
  27. Angle(A, B, D) → ν