Final answer:
In geometry, the undefined terms are the basic foundational elements which include Points and Lines. These terms are understood by their properties and do not have formal definitions, unlike Distance and Segment which are defined by using the undefined terms.
Step-by-step explanation:
The question asks which of the following are undefined terms: Distance, Line, Plane, Point, Segment. In mathematics, particularly in geometry, undefined terms are those that do not have a formal definition, but have a common understanding or are explained through examples or descriptions.
Points, lines, and planes are considered undefined terms in geometry because they serve as the basic building blocks and are only described by their properties. They are not defined by using other terms. On the other hand, terms like distance and segment are defined using these undefined terms. Distance is the length of the straight line connecting two points, and a segment is a part of a line that is bounded by two distinct end points.
Therefore, the correct answer to the question is: a. II and IV only.