Question

in a geometry class, students are asked to describe the dimensions of a plane based on the components that create a plane. which students response is correct?
mark states that a plane has zero dimensions because it is made up of three noncollinear points
stacy states that a plane has two dimensions because it is made up of an infinite number of lines
dewayne states that a plane has one dimension because it contains the line intersecting two points
candice states that a plane can have multiple dimensions depending on how many points are labeled

Explanation:

A plane is a two - dimensional flat surface. It extends infinitely in two directions. A point has zero dimensions, a line has one dimension (length). Mark is wrong as three non - collinear points determine a plane but the plane itself is not zero - dimensional. Dewayne is wrong as a line in a plane is one - dimensional but the plane is more. Candice is wrong as the dimension of a plane is fixed (two - dimensional) and not based on the number of labeled points. Stacy's statement is correct as a plane can be thought of as composed of infinitely many lines (in two independent directions), which is in line with the two - dimensional nature of a plane.

Answer:

Stacy states that a plane has two dimensions because it is made up of an infinite number of lines.