Points that are not on the same line are said to be noncollinear.
The set of points between A and C is a line segment.
From the question, we understand that A, B and C are not on the same line.
We do not know if the distance between AB is the same as the AC and BC, so the set of points cannot be a circle.
For the set of points to be an angle, it must pass through A, B and C.
Since it only passes through A and C, the set of points cannot be an angle.
A ray has only one endpoint, so the set of points cannot be a ray.
A line segment has two endpoints;
Since the points are between A and C, we can consider A and C as the endpoints of the line.
Hence, the set of points between A and C is a line segment.
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