Triangle Centers Notes Chart - A comprehensive guide to the four main triangle centers: Centroid, Circumcenter, Incenter, and Orthocenter, including their special segments and key properties.

- Centroid: The point where the three medians of a triangle intersect. It is also the center of mass or balance point of the triangle.
- Circumcenter: The point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices and is the center of the circumcircle (the circle passing through all three vertices).
- Incenter: The point where the angle bisectors of a triangle intersect. It is equidistant from all three sides and is the center of the incircle (the circle tangent to all three sides).
- Orthocenter: The point where the three altitudes of a triangle intersect. In an acute triangle, it lies inside; in a right triangle, it is at the vertex of the right angle; in an obtuse triangle, it lies outside the triangle.