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Centroid of a Triangle by Guillermo Bautista

Centroid of a Triangle by Guillermo Bautista
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2020-01-30 13:30
TriangleCoordinate GeometryGeometric Construction
This applet demonstrates the intersection of the three medians of a triangle at a single point, known as the centroid. Key mathematical concepts include medians and the centroid of a triangle. Using GeoGebra commands such as Segment, Midpoint, and Intersect, the construction of the medians and their intersection point is illustrated. Suitable for middle school and above students or educators.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Midpoint(f) → D
  5. Midpoint(h) → E
  6. Midpoint(g) → F
  7. Segment(B, E) → i
  8. Segment(D, C) → j
  9. Segment(A, F) → k
  10. Intersect(j, k) → G

AI Drawing Prompt Reference

Draw a triangle ABC and its three medians AD, BE, and CF, where D, E, and F are the midpoints of BC, CA, and AB respectively. Then draw the intersection point G of medians BE and CF, which is the centroid of triangle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.