Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, [tex][tex]$(x, y)$[/tex][/tex]?

A. distance
B. line
C. plane
D. point



Answer :

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 analyze the given options:

1. Distance: Distance measures how far two points are from each other. It is not a location but rather a measurement.

2. Line: A line is an infinite set of points extending in both directions. While it includes points, it itself is not the specific term we are looking for which denotes a single location.

3. Plane: A plane is a flat, two-dimensional surface that extends infinitely in all directions. Similar to a line, it consists of points but is not itself a single location.

4. Point: A point is an exact location in space. On a coordinate plane, this location is specified by an ordered pair [tex]\((x, y)\)[/tex].

Given this analysis, the correct definition for a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex] is a point.

Therefore, the answer is:
point