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the type that go on forever are just called lines but the ones that end are segments
a ray
A line that goes on forever in both directions is a line. One that starts at one point and continues forever in the other direction is a ray, and one that has two definite ends is a line segment.
A line segment has a end point. A ray goes on forever until it hits something, like another ray.
In Euclidean geometry, a line is considered to be infinitely long in both directions, meaning it extends indefinitely in both the positive and negative directions along its path. This concept is based on the definition of a line as a straight path with no endpoints. Therefore, mathematically speaking, a line does go on forever.