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Triangle Centroid Demo

Triangle Centroid Demo
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2019-05-16 23:35
TriangleCoordinate GeometryGeometric Construction
This example demonstrates how to construct the centroid of a triangle using GeoGebra. Key math concepts include triangle centroid, midpoints, medians, and polygon construction. It uses commands like Polygon, PointIn, Segment, Midpoint, LaTeX, and Centroid. Suitable for middle school and above students learning geometric constructions and centroid properties.

GeoGebra Commands & Parameters

  1. Polygon({(-10, -10), (-10, 10), (10, 10), (10, -10)}) → viewBox
  2. PointIn(viewBox) → A
  3. PointIn(viewBox) → B
  4. PointIn(viewBox) → C
  5. Segment(A, B) → AB
  6. Segment(C, A) → AC
  7. Segment(C, B) → BC
  8. Midpoint(BC) → midpointBC
  9. Segment(A, midpointBC) → medianA
  10. Segment(B, midpointBC) → BtoMidpointBC
  11. Segment(C, midpointBC) → CtoMidpointBC
  12. LaTeX("\text{Drag points \(A\), \(B\), and \(C\) in order to explore the triangle's centroid.}") → TEXT
  13. Midpoint(A, C) → midpointAC
  14. Midpoint(A, B) → midpointAB
  15. Segment(B, midpointAC) → medianB
  16. Segment(C, midpointAB) → medianC
  17. Segment(A, midpointAC) → AtoMidpointAC
  18. Segment(A, midpointAB) → AtoMidpointAB
  19. Segment(C, midpointAC) → CtoMidpointAC
  20. Segment(B, midpointAB) → BtoMidpointAB
  21. Centroid(Polygon[A, B, C]) → centroid

AI Drawing Prompt Reference

Draw a quadrilateral and select three vertices to form a triangle. Illustrate the three medians and the centroid of the triangle. Allow dragging the vertices to explore how the centroid moves with the medians and midpoints.
The prompt above was compiled from the original drawing commands and is for reference only.