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Square

Square
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2016-02-18 03:04
PolygonCoordinate GeometryGeometric Construction
In collections Types of Parallelograms
This example demonstrates the construction of a square. Key mathematical concepts include the properties of a square and basic commands for geometric construction. Using Segment, OrthogonalLine, Circle, Intersect, and Line commands, a square can be constructed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(B, a) → c
  4. Circle(B, A) → d
  5. Intersect(d, c, 1) → C
  6. Line(C, a) → e
  7. Intersect(e, b) → D
  8. Segment(A, D) → f
  9. Segment(D, C) → g
  10. Segment(C, B) → h

AI Drawing Prompt Reference

Draw a square by first connecting points A and B to form a line segment, then drawing two perpendicular lines to this segment with A and B as the feet of the perpendiculars, next drawing a circle with B as the center and A as the radius, and finding the intersection of this circle with one of the perpendicular lines to get point C. Draw another perpendicular line to segment AB with C as the foot of the perpendicular, and find the intersection of this line with the other perpendicular line to get point D. Finally, connect points A to D, D to C, and C to B to form a square.
The prompt above was compiled from the original drawing commands and is for reference only.