The undefined geometric term described as a two-dimensional set of points that has no beginning or end is a **line**.
A line is a straight set of points that extends infinitely in both directions. It has no thickness, only length, and it continues indefinitely in a straight path. In geometry, a line is often represented with arrowheads at each end to indicate its infinite nature.
For example, if you draw a line on a piece of paper, you can extend it in both directions endlessly, and it will never have a distinct starting or ending point.
Therefore, in the context of the question, the correct answer is **line** as it fits the description of a two-dimensional set of points with no beginning or end.