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Rectangle Construction with GeoGebra

Rectangle Construction with GeoGebra
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2021-08-04 10:04
PolygonCoordinate GeometryGeometric Construction
In collections P4 4S1 Making Quadrilaterals
This example demonstrates how to draw a rectangle using GeoGebra tools. The key mathematical concepts include geometric construction, properties of parallel lines, and coordinate geometry. Construction involves using commands like Circle, Point, Rotate, Segment, and creating parallel lines, rays, and intersection points. Suitable for middle school or high school students to learn geometric basics and drawing techniques.

GeoGebra Commands & Parameters

  1. Circle(ParaPo1, ParaLeng1) → ParaCir1
  2. Point(ParaCir1) → ParaPo1Aux
  3. Rotate(ParaPo1Aux, (-ParaAngle1), ParaPo1) → ParaPo2
  4. Segment(ParaPo1, ParaPo2) → ParaSeg1
  5. Circle(ParaPo1, ParaLeng2) → ParaCir2
  6. Ray(ParaPo1, ParaPo2) → ParaRay1
  7. Intersect(ParaCir2, ParaRay1, 1) → ParaPo2Aux
  8. Rotate(ParaPo2Aux, ParaAngle2, ParaPo1) → ParaPo3
  9. Segment(ParaPo1, ParaPo3) → ParaSeg2
  10. Line(ParaPo3, ParaSeg1) → ParaLine3
  11. Line(ParaPo2, ParaSeg2) → ParaLine4
  12. Intersect(ParaLine3, ParaLine4) → ParaPo4
  13. Line(ParaPo1, ParaPo2) → ParaLine1
  14. Line(ParaPo1, ParaPo3) → ParaLine2
  15. Segment(ParaPo3, ParaPo4) → ParaSeg3
  16. Segment(ParaPo4, ParaPo2) → ParaSeg4
  17. If(ShowChi, "改變紅線長度", "Change the lengths of red lines") → Text3
  18. If(ShowChi, "改變藍線長度", "Change the lengths of blue lines") → Text4
  19. If(ShowChi, "旋轉圖形", "Rotate the shape") → Text5
  20. If(ShowChi, "改變圖形內角的大小", "Change the angles inside the shape") → Text6

AI Drawing Prompt Reference

Start from a fixed point, draw a circle with a given radius, pick a point on it, rotate it around the center by an angle to get a second point, and connect them to form one side. Then draw another circle with a different radius, from the center cast a ray along the first side, intersect it with the circle to get a point, rotate that point by another angle to get a third point, and connect the center to the third point for the second side. Through the third point draw a line parallel to the first side, and through the second point draw a line parallel to the second side; their intersection gives the fourth point. Finally connect all four points in order to form a rectangle. Include adjustable text labels for changing side lengths, rotating the shape, or adjusting interior angles.
The prompt above was compiled from the original drawing commands and is for reference only.