Question

The definition of a circle uses the undefined term

Answer 1

The correct answer is:

Plane.

Explanation:

There are three terms generally considered to be undefined in geometry:  point, line and plane.

A circle is the set of all points in a plane the same distance from a given point called the center.  The only of our options that is used in this definition is plane.

Answer 2

The definition of a circle uses the plane as an undefined term.

Further explanation

In geometry, undefined terms are those which do not require a rigorous definition. This doesn't mean that those terms are not properly defined, it just means that... their definition is very simple. Let's take a look at those undefined terms:

• A point, which indicates the position of something. Points have no dimensions, therefor you can't draw a point bigger than another.
• A line, which indicates a set of collinear points. Lines don't have thickness nor width, so you can't draw a thicker line than another.
• A plane, which indicates a set of points spanned by 2 lines. Planes have length and width, but no thickness.

From the above 3 definitions, it is possible to define any geometry, that's why we call those undefined terms "building blocks". So, from the above we can define the geometry of a circle, since circles are defined as all points on a plane such that they are equidistant from a single point, called the center.

Learn more

• More questions about circles: brainly.com/question/8849176
• More on undefined terms: brainly.com/question/10969140
• Usefulness of undefined terms: brainly.com/question/1354360

Keywords

Plane, undefined terms in geometry, circle, point.