7
AssignmentMultiple Choice

Euclidean Geometry

Question 7 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

In a geometry class, students are asked to describe the dimensions of a plane based on the components that create a plane. Which student’s response is correct?

Answer
A
Mark states that a plane has zero dimensions because it is made up of three noncollinear points.
B
Stacy states that a plane has two dimensions because it is made up of an infinite number of lines.
C
Dewayne states that a plane has one dimension because it contains the line intersecting two points.
D
Candice states that a plane can have multiple dimensions depending on how many points are labeled.

Explanation

A plane has two dimensions: length and width. It contains infinitely many lines, and three noncollinear points determine a plane, but those points do not make the plane zero-dimensional. Therefore, Stacy’s response that a plane has two dimensions is correct.

AI-written and checked against the verified answer.

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