A line segment has endpoints and a midpoint.
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an endpoint
No.
In geometry, a line has no endpoints. If it has one endpoint and continues infinitely, it is a ray. If it has two endpoints, it is a line segment. If it has one end that approaches but never reaches a point, it is a half line.
the part with the end point does not, it stops at the end point. But if there is only one end point on a line, the other end does go on forever
a median is a line or segment with one endpoint as the midpoint, and the other end at the vertex. so start at a vertex and draw a straight line to the midpoint of the opposite side.