 Midpoint

The midpoint of the line segment joining two points with position vectors $a,b$ is the point $m=(a+b)/2$. Its displacements from the endpoints are $(b-a)/2$ and $(a-b)/2$, so it lies on the segment and is equidistant from its endpoints. It is also the centroid of the two endpoints.

The term "midpoint" can refer to different concepts depending on the context. Here are a few common uses of the term: 1. **Mathematics**: In geometry, the midpoint is the point that is exactly halfway between two endpoints of a line segment.