Geometry · Triangles & Congruence
Centroid
HSG-CO.C.10
Definition
The point of intersection of a triangle's three medians, also its center of gravity.
Examples
- The centroid splits each median in a 2:1 ratio from the vertex.
- A triangle balances perfectly if supported at its centroid.
Key rule
The centroid always splits each median 2:1, measured from the vertex.
Memory hook
Where the medians meet — the balance point.