To determine which undefined geometric term is described as a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex], let's consider the definitions of the geometric terms provided in the options:
1. Distance: This term represents the length between two points. It is a measure of how far apart the points are from each other. Distance cannot be described by a single ordered pair [tex]\((x, y)\)[/tex].
2. Line: A line is a straight one-dimensional figure that extends infinitely in both directions. It can be represented by multiple points, but it is not a single location described by an ordered pair [tex]\((x, y)\)[/tex].
3. Plane: A plane is a flat, two-dimensional surface that extends infinitely in all directions. It is not confined to a single location and hence cannot be represented by a single ordered pair [tex]\((x, y)\)[/tex].
4. Point: A point is an exact location in space. On a coordinate plane, a point is represented by an ordered pair [tex]\((x, y)\)[/tex], which gives its position along the horizontal x-axis and the vertical y-axis.
Given these definitions, the undefined geometric term that fits the description of a single location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex] is a point.
Thus, the correct answer is:
Point
