I'm pretty sure that dskoll's lines have Hausdorff dimension 1. ;)
But in all seriousness, even professional mathematicians use the words "line" and "line segment" interchangeably, since (a) in most contexts there is no ambiguity, and (b) if there is ambiguity, much more would need to be specified -- the space under consideration, whether the segments had open or closed endpoints, etc.