Build Medians and Find the Centroid

Build Medians and Find the Centroid
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2014-09-30 09:29
This example demonstrates how to construct the centroid of a triangle using GeoGebra. It introduces the definition of the centroid and dynamically shows the relationship between medians and the centroid by dragging vertices. Key math concepts include medians, centroids, and coordinate geometry. Construction highlights involve commands like Segment, Midpoint, and Intersect, with objects such as A, B, C, and text1. Suitable for middle school and above students learning coordinate geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, A) → c
  4. Midpoint(b) → D
  5. Midpoint(c) → E
  6. Midpoint(a) → F
  7. Segment(A, D) → d
  8. Segment(B, E) → e
  9. Segment(C, F) → f
  10. Intersect(d, e) → G