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Triangle Circumcenter Construction Breakdown

Triangle Circumcenter Construction Breakdown
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2014-01-22 07:53
TriangleCircleCoordinate GeometryGeometric Construction
In collections Median Triangle
This example highlights the parts that contribute to a triangle's circumcenter. It involves coordinate geometry and uses GeoGebra commands such as Polygon, Midpoint, OrthogonalLine, Intersect, and Circle. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Midpoint(c) → D
  3. Midpoint(a) → E
  4. OrthogonalLine(D, c) → d
  5. OrthogonalLine(E, a) → e
  6. Intersect(d, e) → F
  7. Circle(F, B) → k

AI Drawing Prompt Reference

Draw a triangle and find the midpoint of one side, then draw the perpendicular bisector of that side. Repeat this for another side. The intersection of the two perpendicular bisectors is the circumcenter of the triangle. Draw a circle with the circumcenter as the center and the distance from the circumcenter to one vertex as the radius, which passes through all three vertices of the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.