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Rectangle Properties Investigation by Wayne

Rectangle Properties Investigation by Wayne
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2017-08-09 09:51
PolygonCoordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric properties and transformations of rectangles. It involves core math concepts like rectangle definitions, diagonal properties, rotational symmetry, and coordinate geometry. Construction highlights include using commands like Segment, OrthogonalLine, Point, Intersect, Angle, Distance in GeoGebra. Suitable for high school mathematics teaching to explore geometric transformations and properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → D
  5. OrthogonalLine(D, g) → i
  6. Intersect(h, i) → C
  7. Segment(B, C) → j
  8. Segment(C, D) → k
  9. Segment(D, A) → l
  10. Segment(A, C) → m
  11. Segment(B, D) → n
  12. Angle(D, A, B) → α
  13. Angle(A, B, C) → β
  14. Angle(B, C, D) → γ
  15. Angle(C, D, A) → δ
  16. Angle(n, m) → ε
  17. Distance(A, B) → distanceAB
  18. Distance(B, C) → distanceBC
  19. Distance(C, D) → distanceCD
  20. Distance(D, A) → distanceDA
  21. Distance(A, C) → distanceAC
  22. Distance(B, D) → distanceBD