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Properties of a Rectangle by Beverly Heigre

Properties of a Rectangle by Beverly Heigre
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2015-11-13 10:47
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the properties of a rectangle, involving geometric construction and coordinate geometry. Using GeoGebra commands such as Segment, OrthogonalLine, and Intersect, it shows that opposite sides of a rectangle are equal, and its diagonals are equal and bisect each other. Suitable for middle school and above students to learn geometric construction and coordinate geometry.

GeoGebra Commands & Parameters

  1. Segment(A, C) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(C, a) → c
  4. Line(D, a) → d
  5. Intersect(b, d) → E
  6. Intersect(c, d) → F
  7. Segment(E, A) → e
  8. Segment(F, C) → f
  9. Segment(F, E) → g
  10. Angle(E, A, C) → α
  11. Angle(A, C, F) → β
  12. Angle(C, F, E) → γ
  13. Angle(F, E, A) → δ
  14. Distance(E, A) → distanceEA
  15. Distance(A, C) → distanceAC
  16. Distance(C, F) → distanceCF
  17. Distance(F, E) → distanceFE
  18. Slope(e) → m
  19. Slope(f) → m_1
  20. Slope(a) → m_2
  21. Slope(g) → m_3
  22. Segment(E, C) → l
  23. Segment(F, A) → n
  24. Intersect(l, n) → G
  25. Distance(A, G) → distanceAG
  26. Distance(G, F) → distanceGF
  27. Distance(C, G) → distanceCG
  28. Distance(G, E) → distanceGE
  29. Angle(A, G, E) → ε