California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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Which of the following is a required condition for a figure to be classified as a polygon?

It must have curved edges
It must be three-dimensional in nature
Each side must be a line segment
It must have an equal number of angles

The correct answer is: Each side must be a line segment

A figure is classified as a polygon if it is a closed plane figure made up of a finite number of straight line segments. Therefore, each side of the polygon must indeed be a line segment, which is a fundamental condition for the definition of a polygon. This means that all sides must connect in such a way that they form a closed shape without any curves or gaps. The other options fail to meet the requirements for a polygon. For example, if a figure has curved edges, it cannot be classified as a polygon. Similarly, being three-dimensional is not a requirement; polygons exist in two-dimensional space. Lastly, while polygons can have various angles, there is no requirement for them to have an equal number of angles; the number of angles corresponds to the number of sides, but they do not have to be equal. Hence, the necessity for each side to be a line segment is the correct condition for classification as a polygon.