Antisymmetric Relation: Definition, Proof & Examples


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What is the definition of a relation?

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1. If a reaction, R, is antisymmetric, what property does it always satisfy?

2. Which of the following is NOT an antisymmetric relation?

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About This Quiz & Worksheet

This quiz/worksheet assessment is designed to measure how much you know about mathematical relations. You must have an understanding of relevant term definitions and equations to successfully complete this quiz.

Quiz & Worksheet Goals

You must display the following abilities to do well on this quiz:

  • Define a relation
  • Describe what property is satisfied when 'R' is antisymmetric in a given reaction
  • Identify antisymmetric relation equations
  • Understand how to prove that a relation is antisymmetric
  • Solve a sample antisymmetric relation problem

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the lesson, such as proving that a relation is antisymmetric
  • Problem solving - use acquired knowledge to solve sample antisymmetric relations problems
  • Defining key concepts - ensure that you can accurately define 'relation' as it is used in mathematics
  • Knowledge application - use your knowledge to identify equations that reflect antisymmetric relations

Additional Learning

You can learn more about this mathematical concept by referring to the lesson titled Antisymmetric Relation: Definition, Proof & Examples. Facts discussed in this lesson include:

  • The definition of 'divisibility'
  • Ways to prove antisymmetric relations
  • An example of an antisymmetric relation using the < and > signs