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Triangle Centroid Demo by Stephanie Harman Smith

Triangle Centroid Demo by Stephanie Harman Smith
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2018-02-03 04:19
TriangleCoordinate GeometryGeometric Construction
In collections Geometry Review
This example demonstrates how to construct a triangle and calculate its centroid using GeoGebra. Key math concepts include triangle, centroid, angle bisector, segment length, and distance calculation. Construction highlights involve commands like Polygon, LineBisector, Intersect, Segment, and Distance. Suitable for middle school students and above for learning geometric constructions and centroid properties, as well as for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. LineBisector(b) → f
  3. LineBisector(c) → g
  4. LineBisector(a) → h
  5. Intersect(f, b) → D
  6. Intersect(g, c) → E
  7. Intersect(h, a) → F
  8. Segment(A, F) → i
  9. Segment(B, D) → j
  10. Segment(C, E) → k
  11. Intersect(i, j) → Centroid
  12. Distance(D, Centroid) → distanceDG
  13. Distance(Centroid, B) → distanceGB
  14. Distance(E, Centroid) → distanceEG
  15. Distance(Centroid, C) → distanceGC
  16. Distance(A, Centroid) → distanceAG
  17. Distance(Centroid, F) → distanceGF