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Perpendicular Bisector Equation

Perpendicular Bisector Equation
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2020-04-18 19:25
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to construct a perpendicular bisector using two points and shows the equation of the perpendicular bisector. Key mathematical concepts include the properties and equation of a perpendicular bisector. Using GeoGebra commands such as Random, Segment, Midpoint, and LineBisector, the construction process is visually explained. Suitable for students at the junior high school level and above, focusing on coordinate geometry.

GeoGebra Commands & Parameters

  1. Random(-5, 5) → xA
  2. Random(-5, 5) → yA
  3. Random(-5, 5) → xB
  4. Random(-5, 5) → yB
  5. Segment(A, B) → f
  6. Midpoint(f) → C
  7. LineBisector(A, B) → l_{1}

AI Drawing Prompt Reference

Draw a Cartesian coordinate system and randomly select two points A and B to form a line segment f. Find the midpoint C of line segment f, and then draw the perpendicular bisector l₁ passing through points A and B.
The prompt above was compiled from the original drawing commands and is for reference only.