Diagonals in Geometry: Shapes & Formula


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question 1 of 3

Which of the following is not an example of a polygon?

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1. Which one of these shapes cannot have a diagonal in geometry?

2. How many diagonals in geometry are in a pentagon (which has 5 sides)?

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About This Quiz & Worksheet

This printable worksheet and quiz combo will test your knowledge on all the basics of diagonals in geometry. Learn the definition of a diagonal and how to calculate the number of diagonals of any two- or three-dimensional shape.

Quiz & Worksheet Goals

This worksheet and quiz set will teach you about the following:

  • What qualifications a shape must have to have at least one diagonal
  • Definitions of polygons and polyhedrons
  • Components of a shape, like vertices and diagonal lines
  • The formula to determine the number of diagonals in a shape

Skills Practiced

Use these skills when working with the worksheet and quiz:

  • Problem solving - use acquired knowledge to solve diagonal practice problems
  • Interpreting information - verify that you can read information regarding diagonals and shapes and interpret it correctly
  • Defining key concepts - ensure that you can accurately define main phrases, such as polygon and polyhedrons

Additional Learning

The corresponding lesson on the topic of diagonals will teach you how to:

  • Define various terms in relation to diagonals, like line segments and polygons
  • Distinguish between polygons, polyhedrons, and other shapes
  • Use the formula provided to find the number of diagonals in a polygon or polyhedron given the number of sides of the shape