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Quick Investigation of Triangle Medians

Quick Investigation of Triangle Medians
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2017-02-11 02:27
TriangleVectorGeometric Construction
In collections Congruence (CO) Cluster CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Triangle Theorems Triangles: Points of Concurrency
This example demonstrates the properties of triangle medians, focusing on the centroid, the point where the medians intersect. Using the Polygon and Segment commands, students can explore the length and position relationships of the medians. Suitable for middle school and above students for geometric exploration.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(A, B) → f
  3. Segment(B, C) → g
  4. Segment(C, A) → h

AI Drawing Prompt Reference

Draw a triangle and its three medians, observe their intersection point called the centroid, and explore the relationships between the lengths and positions of the medians.
The prompt above was compiled from the original drawing commands and is for reference only.