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Constructing the Circumcenter

Constructing the Circumcenter
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2015-10-09 04:43
TriangleCircleGeometric Construction
This example demonstrates how to construct the circumcenter of a triangle by intersecting the perpendicular bisectors of its sides. Key math concepts include triangles, midpoints, perpendicular lines, intersections, circles, and polygons. Construction steps involve using GeoGebra commands like Polygon, Midpoint, OrthogonalLine, Intersect, Circle, and Segment. Suitable for high school students learning basic geometric properties of triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Midpoint(b) → D
  3. Midpoint(a) → E
  4. Midpoint(c) → F
  5. OrthogonalLine(D, b) → d
  6. OrthogonalLine(F, c) → e
  7. OrthogonalLine(E, a) → f
  8. Intersect(d, e) → G
  9. Angle(A, D, G) → α
  10. Angle(G, F, A) → β
  11. Angle(C, E, G) → γ
  12. Circle(A, B, C) → g
  13. Segment(A, G) → h
  14. Segment(G, B) → i
  15. Segment(G, C) → j