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Rectangle with a Side on a Given Line

Rectangle with a Side on a Given Line
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2019-12-27 12:36
PolygonCoordinate GeometryGeometric Construction
This example demonstrates constructing a rectangle with one side on a given line. Key mathematical concepts include linear equations and polygons. Using GeoGebra commands such as Point, Circle, Intersect, OrthogonalLine, and Polygon, the construction is achieved. Suitable for middle school and above students to learn coordinate geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Point(eq1) → A
  2. Circle(A, 8) → c
  3. Intersect(c, eq1, 1) → B
  4. OrthogonalLine(B, eq1) → f
  5. OrthogonalLine(A, eq1) → g
  6. Circle(B, 5) → d
  7. Circle(A, 5) → e
  8. Intersect(d, f, 1) → C
  9. Intersect(e, g, 1) → D
  10. Polygon(A, B, C, D) → q1, a, b, c_1, d_1