Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, $(x, y)$?
A. distance
B. line
C. plane
D. point
Answer (1)
A point is a location in space defined by coordinates.
A line is a one-dimensional object formed by infinitely many points.
A plane is a two-dimensional object formed by infinitely many lines.
Distance is the measure of separation between two points.
The undefined geometric term described by an ordered pair ( x , y ) is a p o in t .
Explanation
Analyze the problem The question asks us to identify which undefined geometric term is described as a location on a coordinate plane designated by an ordered pair ( x , y ) . Let's consider each option.
Consider the definition of a point A point is a location in space. In a coordinate plane, a point is designated by an ordered pair ( x , y ) . This matches the description in the question.
Consider the definition of a line A line is a one-dimensional object with infinite length but no width. It is formed by infinitely many points. A line is not designated by a single ordered pair.
Consider the definition of a plane A plane is a two-dimensional object with infinite length and width but no thickness. It is formed by infinitely many lines. A plane is not designated by a single ordered pair.
Consider the definition of distance Distance is the measure of separation between two points. It is a numerical value, not a geometric term designated by an ordered pair.
Identify the correct term Therefore, the undefined geometric term described as a location on a coordinate plane that is designated by an ordered pair, ( x , y ) , is a point .
Examples
In computer graphics and mapping, every object or location on a digital map is defined by coordinates, which are essentially points. Understanding that a point is a fundamental geometric concept helps in creating and interpreting these digital representations of the real world. For example, when you use GPS, your location is determined by a point on a map defined by latitude and longitude coordinates.
