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 point has zero dimensions. A line has one dimension (length). A plane has two dimensions (length and width).
• Mark is wrong because three non - collinear points define a plane, but points have zero dimensions and the plane itself is two - dimensional.
• Dewayne is wrong because a line (which is one - dimensional) is a part of a plane, but the plane has two dimensions.
• Candice is wrong because the number of labeled points does not change the inherent two - dimensional nature of a plane.
• Stacy is correct as a plane can be thought of as being formed by an infinite number of lines (in two independent directions, which gives it two dimensions).

Answer:

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