What is the term for the point that is in the middle of a segment?

The term for the point that lies exactly in the middle of a segment is called the midpoint. In geometry, the midpoint is defined as the point that divides a line segment into two equal parts, meaning that it is equidistant from both endpoints of the segment. To find the midpoint of a segment with endpoints at coordinates (x1, y1) and (x2, y2), you can use the midpoint formula:

Midpoint = ( (x1 + x2)/2 , (y1 + y2)/2 ).

This formula confirms that the midpoint balances the segment and provides a clear division between the two halves. The other terms listed such as endpoint, vertex, and centroid refer to different geometric concepts that do not convey the same meaning as midpoint.