How to Find the Number of Diagonals in a Polygon


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question 1 of 3

Which polygon does not have any diagonals?

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1. How many diagonals does a 9-sided polygon have?

2. How many diagonals does a triangle have?

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About This Quiz & Worksheet

Finding the number of diagonals in a polygon is a relatively simple process involving connecting non-adjacent corners on a polygon with a line. This quiz and worksheet combo will help you ensure that you understand how to define diagonals in polygons. These practice questions will test your understanding of the mathematical formula you can use to define the number of diagonals in a polygon without having to draw out the shape.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Polygons that do and don't have diagonals
  • How to perform these calculations using the n(n - 3)/2 (where n is your number of sides) formula

Skills Practiced

  • Reading comprehension - ensure that you draw the pertinent information on defining the number of diagonals in a polygon from the related lesson
  • Critical thinking - apply relevant concepts to examine information about polygons and their diagonals in a different light
  • Problem solving - use acquired knowledge to solve practice problems wherein you are asked to use the formula for finding diagonals in polygons

Additional Learning

Make sure to also review the lesson called How to Find the Number of Diagonals in a Polygon. This lesson covers the following objectives:

  • Define polygons and diagonals
  • Differentiate between triangles and other polygons
  • Understand the formula used to define the number of diagonals in a polygon
  • Demonstrate your ability to use this formula to define the number of diagonals in a polygon