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

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.

Get further explanation with Examzify DeepDiveBeta

It must have an equal number of angles

Want more questions?

All options are one-time payments.

$12.50

30 day premium pass

All the basics to get you started

  • Ad-free experience
  • View your previous attempt history
  • Mobile app access
  • In-depth explanations
  • 30 day premium pass access
$30.00 $87.50 usd

6 month DELUXE pass (most popular)

Everything with the 30 day premium pass FOR 6 MONTHS! & the ultimate digital PDF study guide (BONUS)

  • Everything included in the premium pass
  • $87.50 usd value for $30.00! You save $57.50!
  • + Access to the ultimate digital PDF study guide
  • + 6 months of premium pass access
  • + Priority support
$12.50 $18.99

Ultimate digital PDF study guide

For those that prefer a more traditional form of learning

  • Available for instant download
  • Available offline
  • Hundreds of practice multiple choice questions
  • Comprehensive content
  • Detailed explanations
Image Description
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy