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

Respuesta :

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 [tex]\left({x,y}\right)[/tex]  in allocation on the coordinate plane is called [tex]\boxed{{\mathbf{point}}}[/tex] .

Further explanation:

Coordinate plane is a two dimensional line in which vertical line represents [tex]y[/tex]  axis and the horizontal line represents [tex]x[/tex]  axis. These lines intersects each other at the origin and perpendicular also.

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

These axes divide the coordinate plane into four quadrants.

In the first quadrant both [tex]x{\text{ and }}y[/tex]  are positive.

In the second quadrant the value of [tex]x[/tex]  is negative and the value of [tex]y[/tex]  is positive.

In the third quadrant both [tex]x{\text{ and }}y[/tex]  are negative.

In the fourth quadrant the value of [tex]x[/tex]  is positive and the value of [tex]y[/tex]  is negative.

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

The ordered pair [tex]\left({x,y}\right)[/tex]  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.