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Constructing a Rectangle with Fixed Perimeter

Constructing a Rectangle with Fixed Perimeter
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2016-04-06 01:27
Coordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates how to construct a rectangle with a fixed perimeter. Key mathematical concepts include geometric construction and coordinate geometry. Using GeoGebra commands such as Intersect, Point, Segment, Distance, etc., a rectangle can be constructed. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → a
  4. Point(a) → C
  5. Segment(A, B) → g
  6. Distance(A, B) → AB
  7. Circle(C, B) → c
  8. OrthogonalLine(C, a) → b
  9. Intersect(c, b, 2) → D
  10. OrthogonalLine(D, b) → d
  11. Intersect(yAxis, d) → E
  12. Polygon(A, C, D, E) → poly1, a_1, c_1, d_1, e