Question

which best describes the dimensions of a plane?
a plane has zero dimensions because it represents a location on the coordinate plane
a plane has one dimension because it is made up of an infinite number of points
a plane has two dimensions because it is a flat surface that has length and width but no depth
a plane has three dimensions because it is made up of exactly three noncollinear points

Explanation:

Step1: Analyze Option A

A location on the coordinate plane is a point (zero - dimensional), not a plane.

Step2: Analyze Option B

A line is made up of an infinite number of points and is one - dimensional. A plane is not one - dimensional.

Step3: Analyze Option C

By the definition of a plane in geometry, a plane is a flat surface with length and width (two dimensions) and no thickness (depth).

Step4: Analyze Option D

Three non - collinear points determine a plane, but a plane itself is two - dimensional, not three - dimensional. A three - dimensional object has length, width, and depth (like a cube).

Answer:

C. A plane has two dimensions because it is a flat surface that has length and width but no depth