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Perpendicular Bisector and Circle

Perpendicular Bisector and Circle
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2019-05-06 01:08
CircleCoordinate GeometryGeometric Construction
This example demonstrates the relationship between a perpendicular bisector and a circle. Key mathematical concepts include the properties of a perpendicular bisector and the definition of a circle. Using GeoGebra commands such as Line, JednakoudaljenaTačka, Intersect, and Circle, one can construct a perpendicular bisector and a circle. Suitable for students in middle school and above for geometric construction.

GeoGebra Commands & Parameters

  1. Line(C_1, D) → f
  2. JednakoudaljenaTačka(A, B) → c, d, E
  3. JednakoudaljenaTačka(B, A) → e, g, F
  4. Line(F, E) → h
  5. Intersect(f, h) → C
  6. Circle(C, A) → k

AI Drawing Prompt Reference

Draw a line segment, then find its midpoint and draw a line perpendicular to it, which is the perpendicular bisector. Connect the two endpoints of the line segment to the intersection points on the perpendicular bisector with two equal line segments. Draw a circle with one endpoint as the center and the distance to the intersection point on the perpendicular bisector as the radius, making the circle tangent to the perpendicular bisector.
The prompt above was compiled from the original drawing commands and is for reference only.