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

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


Sagot :

Let's analyze the given choices one by one.

1. Distance: Distance represents a scalar quantity that defines the length between two points. It is not something that can be described as a location on a coordinate plane with an ordered pair \((x, y)\).

2. Line: A line in geometry is defined as a straight one-dimensional figure having no thickness and extending infinitely in both directions. While a line can be described by multiple points through which it passes, it itself cannot be designated by a single ordered pair \((x, y)\).

3. Plane: A plane is a two-dimensional flat surface that extends infinitely in all directions. Similar to a line, a plane is made up of infinitely many points, but it cannot be represented by just a single ordered pair \((x, y)\).

4. Point: A point in geometry is an exact location in space. It has no dimensions, meaning it has no length, width, or height. A point is often designated by an ordered pair \((x, y)\) on a coordinate plane.

Given this analysis, the geometric term that is described as a location on a coordinate plane designated by an ordered pair \((x, y)\) is clearly a point.

So, the correct answer is:

point
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