Triangle Around a Centroid
What is the Construction?
In this construction, I begin with a point that is the centroid of SOME triangle.
Knowing that the centroid divides the median in a 2:1 ratio, and that one end of the median is the midpoint of one of the sides of the triangle, I repeatedly use the 
Reflect in a Point tool to find the points needed in the construction.
Reflect in a Point tool to find the points needed in the construction.Building a Triangle Around a Centroid
Play through the construction below!
Give the Construction a Try!
Everything is better with puppies.
Centroids
What does Wikipedia say about the Centroid?
Is the Centroid your favorite triangle center?