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

Verified Answer :

Answer: A point.

Step-by-step explanation:

There are three undefined terms in geometry :

1) point 2) line 3) plane

A point has zero dimension and it is used to locate a figure on coordinate plane.

The location of figure is represented by a point in the form of ordered pairs (x,y), on coordinate plane  where x= abscissa and  y= ordinate.

A line is one dimensional straight indefinite path on plane that has no width.

A plane is a two-dimensional flat surface that extends upto infinity.

So , the undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) is A point.

The ordered pair \(\left({x,y}\right)\)  in allocation on the coordinate plane is called \(\boxed{{\mathbf{point}}}\) .


Further explanation:


Coordinate plane is a two dimensional line in which vertical line represents \(y\)  axis and the horizontal line represents \(x\)  axis. These lines intersects each other at the origin and perpendicular also.


The origin is the zero point where the value of \(x{\text{ and }}y\)  both are zero and it can be written the ordered pair form as \(\left({0,0}\right)\) .


These axes divide the coordinate plane into four quadrants.


In the first quadrant both \(x{\text{ and }}y\)  are positive.


In the second quadrant the value of \(x\)  is negative and the value of \(y\)  is positive.


In the third quadrant both \(x{\text{ and }}y\)  are negative.


In the fourth quadrant the value of \(x\)  is positive and the value of \(y\)  is negative.


In the ordered pair \(\left({x,y}\right)\)  of the coordinate plane, the first number represents the \(x\)  coordinate that is known as abscissa and the second number represents the \(y\)  coordinate that is known as ordinate.


The ordered pair \(\left({x,y}\right)\)  in a location on the coordinate plane is called point.


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Answer details:


Grade:
Middle school


Subject:
Mathematics


Chapter: Coordinate geometry


Keywords: ordered pair, ordinate, coordinates, coordinate plane, geometry, point, location, origin, axes, quadrants, abscissa, two dimensional, negative, positive, intersects, perpendicular.