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Sagot :
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
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
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