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Parabola Construction by Miss Arakelian

Parabola Construction by Miss Arakelian
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2017-02-23 08:37
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the construction of a parabola. Key mathematical concepts include the definition and symmetry of a parabola, as well as special points. Using GeoGebra commands such as Segment, Point, and LineBisector, the construction of the parabola and related elements is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Point(f) → C
  3. Point(f) → D
  4. Segment(C, E) → g
  5. LineBisector(C, E) → h
  6. Intersect(h, g) → F
  7. OrthogonalLine(C, f) → i
  8. Intersect(h, i) → G

AI Drawing Prompt Reference

Draw a parabola by first creating a line segment f between points A and B, then selecting points C and D on f, drawing a line segment g through C and E, and finding its perpendicular bisector h which intersects g at point F. Next, draw a line i perpendicular to f through C, and find its intersection with h at point G.
The prompt above was compiled from the original drawing commands and is for reference only.