Circle Through 3 Points

Circle Through 3 Points
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2016-06-17 20:48
This example demonstrates how to construct a unique circle through three non-collinear points. Key math concepts include the definition of a circle, geometric construction, and the circumcircle of a triangle. Construction highlights involve GeoGebra commands like Circle, Segment, LineBisector, and Intersect; objects include points A, B, C, segment c, and Center. Suitable for middle school and above students learning geometric constructions and circle properties.

GeoGebra Commands & Parameters

  1. Circle(A, B, C) → c
  2. Segment(A, B) → w
  3. Segment(B, C) → u
  4. LineBisector(w) → f
  5. LineBisector(u) → g
  6. LineBisector(w) → h
  7. LineBisector(u) → i
  8. Intersect(h, i) → Center