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Making Quadrilaterals 4 (Parallelogram)

Making Quadrilaterals 4 (Parallelogram)
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2021-08-04 09:57
PolygonAngleCoordinate GeometryTransformationGeometric Construction
In collections P4 4S1 Making Quadrilaterals
This example demonstrates how to construct a parallelogram through geometric construction, showing its dynamic properties. Core math concepts include the definition and properties of parallelograms, parallel lines, congruent triangles, and applications of rotation and intersection. Construction highlights: using GeoGebra commands such as Circle, Point, Rotate, Segment, Ray, Intersect, Line, and If, along with multiple auxiliary objects (e.g., ParaPo1, ParaLeng1, ParaCir1) to step-by-step build the vertices and sides of the parallelogram, with buttons and checkboxes to toggle parallel lines and grid display. Suitable for middle school geometry lessons to help students understand parallelogram construction and its relation to congruence and rotation.

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

Draw a parallelogram. The figure should include four vertices, two opposite sides, and two diagonals. The construction order starts from a point, draws a line segment, then uses rotation and intersection to generate other vertices, and finally connects all vertices to form the parallelogram.
The prompt above was compiled from the original drawing commands and is for reference only.