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Rectangle Properties by Roxana Kim

Rectangle Properties by Roxana Kim
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2017-01-09 06:36
PolygonCoordinate GeometryGeometric Construction
In collections Exploring the Properties of Quadrilaterals
This example demonstrates the geometric properties of a rectangle through interactive manipulation, allowing students to verify its side lengths, angles, and other characteristics. Core math concepts include polygons, coordinate geometry, angle measurement, and distance calculation. It utilizes GeoGebra commands and objects such as Line, OrthogonalLine, Point, Intersect, Polygon, Distance, Angle, and Segment. Suitable for middle school and above, it aids in exploring and validating geometric conjectures.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. Point(b) → D
  4. OrthogonalLine(D, b) → c
  5. OrthogonalLine(B, a) → d
  6. Intersect(c, d) → C
  7. Polygon(A, B, C, D) → poly1, a_1, b_1, d_1, c_1
  8. Distance(A, B) → distanceAB
  9. Distance(B, C) → distanceBC
  10. Distance(C, D) → distanceCD
  11. Distance(A, D) → distanceAD
  12. Angle(A, B, C) → α
  13. Angle(C, D, A) → β
  14. Angle(D, A, B) → γ
  15. Angle(B, C, D) → δ
  16. Segment(A, C) → g
  17. Segment(B, D) → h
  18. Intersect(g, h) → E
  19. Distance(B, D) → distanceBD
  20. Distance(A, C) → distanceAC
  21. Distance(B, E) → distanceBE
  22. Distance(C, E) → distanceCE
  23. Distance(D, E) → distanceDE
  24. Distance(A, E) → distanceAE
  25. Segment(C, A) → j
  26. Segment(D, B) → k
  27. Intersect(j, k) → F
  28. Angle(A, B, F) → ε
  29. Angle(F, C, D) → ζ
  30. Angle(F, B, C) → η
  31. Angle(B, A, F) → θ
  32. Angle(F, A, D) → ι
  33. Angle(F, D, A) → κ
  34. Angle(F, D, C) → λ
  35. Angle(C, F, D) → μ
  36. Angle(C, F, B) → ν
  37. Angle(B, C, F) → ξ