Final answer:
The medians of a triangle intersect at the centroid, which is the triangle's balance point or center of mass.
Step-by-step explanation:
The medians of a triangle intersect at a point called the centroid. A median is a line segment drawn from any vertex to the midpoint of the opposite side. The point where all three medians of a triangle meet is the centroid, and it serves as the triangle's balance point or the center of mass.
In regards to a line, the terms 'either end of the line' and 'the middle of the line', the latter being also known as 'the origin', are not directly relevant to the intersection point of the medians. However, the concept that the medians intersect at the middle of a triangle ties into the idea of the origin being a central reference point.