Drawing a Circumcircle of a Triangle

Drawing a Circumcircle of a Triangle
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2014-10-23 10:36
Explore how to draw the circumcircle of a triangle by tracing the positions of the center of the circle as it passes through any two vertices. This example demonstrates the geometric construction of a circumcircle, involving key concepts like circle, triangle, circumcenter, and intersection points. The construction uses GeoGebra commands such as Segment, Circle, Center, Intersect, and Polygon. Suitable for middle school and high school students to understand the properties and construction of circumcircles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → c
  2. Segment(B, C) → a
  3. Segment(C, A) → b
  4. Circle(O, D) → d
  5. Segment(O, B) → OB
  6. Segment(O, A) → OA
  7. Segment(O, C) → OC
  8. Center(Circle[A, B, C]) → E
  9. Intersect(LineBisector[A, B], OrthogonalLine[O, LineBisector[A, B]]) → O1
  10. Intersect(LineBisector[C, B], OrthogonalLine[O, LineBisector[C, B]]) → O2
  11. Intersect(LineBisector[A, C], OrthogonalLine[O, LineBisector[A, C]]) → O3
  12. Polygon(A, B, C) → poly1, c_1, a_1, b_1