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Rectangles in the {Perimeter, Area} plane by Judah L Schwartz (2)

Rectangles in the {Perimeter, Area} plane by Judah L Schwartz (2)
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2017-10-13 21:01
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the dynamic process of drawing rectangles in the {Perimeter, Area} plane. Key math concepts include perimeter, area, rectangle properties, and analytical geometry. Construction highlights involve commands like Circle, Point, Line, Intersect, Polygon in GeoGebra. Suitable for high school mathematics teaching to understand the relationship between perimeter and area of rectangles and their parametric representation.

GeoGebra Commands & Parameters

  1. Circle(A, 0.5) → c
  2. Point(c) → B
  3. Line(A, B) → f
  4. Intersect(f, xAxis) → E
  5. Line(A, B) → g
  6. Point(g) → C
  7. Polygon(F, G, C, I) → poly1, f_1, g_1, c_1, i
  8. Point(p) → K
  9. Polygon(F, L, K, M) → poly2, f_2, l, k, m