Triangle Centroid Demo by Jason Wofsey

Triangle Centroid Demo by Jason Wofsey
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2015-12-17 00:16
This example demonstrates how to construct the centroid of a triangle using GeoGebra. Key math concepts include triangle, centroid, midpoint, and line segment intersection. Construction involves commands like Polygon, Midpoint, Segment, and Intersect to create the triangle, find midpoints, draw midsegments, and determine the centroid. Suitable for middle school and above students learning geometric constructions and centroid properties.

GeoGebra Commands & Parameters

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