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Properties of a Rectangle by Adam Bevan

Properties of a Rectangle by Adam Bevan
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2015-12-30 18:53
PolygonAngleGeometric Construction
This example demonstrates the properties of a rectangle. Key mathematical concepts include the definition of a rectangle, properties of diagonals, and angle relationships. Using GeoGebra commands such as Segment, OrthogonalLine, Point, Line, Intersect, and Polygon, the construction of a rectangle and the observation of its properties are illustrated. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(B, a) → c
  4. Point(b) → C
  5. Line(C, a) → d
  6. Intersect(c, d) → D
  7. Segment(B, D) → e
  8. Segment(D, C) → f
  9. Segment(A, C) → g
  10. Polygon(A, C, D, B) → RECTANGLE, a_1, c_1, d_1, b_1
  11. Angle(RECTANGLE) → α, β, γ, δ
  12. Segment(C, B) → h
  13. Segment(A, D) → i
  14. Intersect(h, i) → E
  15. Segment(A, E) → j
  16. Segment(E, D) → k
  17. Segment(E, B) → l
  18. Segment(C, E) → m