Midpoint

A midpoint is the exact middle point of a line segment. It divides the segment into two perfectly equal halves, making it equidistant from both endpoints of the segment.

Example

On a Cartesian plane, the midpoint $M$ of a line segment connecting two points $A(x_1, y_1)$ and $B(x_2, y_2)$ is found by averaging their coordinates: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ For points $(2, 4)$ and $(6, 10)$, the midpoint is $\left( \frac{2 + 6}{2}, \frac{4 + 10}{2} \right) = (4, 7)$.

See Also

• Line Segment
• Coordinate Geometry
• Bisector