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Circumcenter

Circumcenter
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2018-03-02 03:19
TriangleCircleGeometric Construction
This example demonstrates how to determine the circumcenter of a triangle by constructing the intersection of its three angle bisectors. Key math concepts include triangle, angle bisector, circumcenter, and geometric construction. Construction steps involve using GeoGebra commands: Segment, LineBisector, and Intersect. Suitable for high school geometry teaching and learning.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. LineBisector(A, B) → i
  5. LineBisector(B, C) → j
  6. LineBisector(C, A) → k
  7. Intersect(i, j) → Circumcenter
  8. Intersect(i, f) → D
  9. Intersect(j, g) → E
  10. Intersect(k, h) → F
  11. Segment(Circumcenter, F) → l
  12. Segment(Circumcenter, E) → m
  13. Segment(Circumcenter, D) → n

AI Drawing Prompt Reference

Draw a triangle and its three angle bisectors, then find the intersection point of these bisectors which is the circumcenter, and connect the circumcenter to each vertex of the triangle with line segments.
The prompt above was compiled from the original drawing commands and is for reference only.