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Properties of a Rectangle by Rosalie83

Properties of a Rectangle by Rosalie83
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2013-11-19 20:42
PolygonVectorCoordinate Geometry
This applet allows you to change the size and shape of a rectangle by moving points B and C to discover its properties. Key mathematical concepts include coordinate geometry, vectors, and angles. It uses commands like Intersect, Point, OrthogonalLine, and Polygon. Suitable for middle school and above students for geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. OrthogonalLine(B, yAxis) → a
  4. Point(a) → C
  5. OrthogonalLine(C, a) → b
  6. Intersect(b, xAxis) → D
  7. Polygon(A, B, C, D) → poly1, a_1, b_1, c, d
  8. Angle(D, A, B) → α
  9. Angle(A, B, C) → β
  10. Angle(B, C, D) → γ
  11. Angle(C, D, A) → δ
  12. Segment(A, C) → g
  13. Segment(B, D) → h
  14. Intersect(g, h) → E
  15. Segment(A, E) → j
  16. Segment(E, C) → k
  17. Segment(D, E) → l
  18. Segment(E, B) → m
  19. Angle(A, E, D) → ε
  20. Angle(D, E, C) → ζ
  21. Angle(C, E, B) → η
  22. Angle(B, E, A) → θ
  23. Angle(E, A, B) → ι
  24. Angle(A, B, E) → κ
  25. Angle(E, B, C) → λ
  26. Angle(B, C, E) → μ
  27. Angle(E, C, D) → ν
  28. Angle(C, D, E) → ξ
  29. Angle(E, D, A) → ο
  30. Angle(D, A, E) → ρ

AI Drawing Prompt Reference

Draw a rectangle by dragging points B and C to change its size and shape, and explore its properties. Start by creating point B on the y-axis, then create point C on the vertical line through B, followed by point D on the vertical line through C. Connect these four points to form a rectangle. Observe and measure the angles inside the rectangle and the relationships between the diagonals and the sides, as well as the intersection point E.
The prompt above was compiled from the original drawing commands and is for reference only.