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Construction of a Square

Construction of a Square
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2016-12-01 11:30
PolygonVectorGeometric Construction
In collections Geometric Constructions Using GeoGebra
This example demonstrates how to construct a square using GeoGebra. Key mathematical concepts include geometric construction and vectors. Using commands such as Segment, OrthogonalLine, Circle, Intersect, and Line, a square can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. Circle(A, Segment[A, B]) → c
  4. Intersect(c, g, 2) → C
  5. Line(C, f) → h
  6. OrthogonalLine(B, f) → i

AI Drawing Prompt Reference

Draw a square by first creating line segment AB, then drawing a line g perpendicular to AB through point A, followed by drawing a circle c with AB as its radius. The intersection of circle c and line g (other than A) is point C. Draw a line h parallel to AB through point C, and a line i perpendicular to AB through point B. The intersection of line i and circle c (other than B) is the fourth vertex of the square.
The prompt above was compiled from the original drawing commands and is for reference only.