Indirect Proof in Geometry: Definition & Examples


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question 1 of 3

Which of the following statements are true?

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1. If we were proving that a given line, call it L, is perpendicular to another line, call it J, using indirect proof, what would our initial assumption be?

2. Which of the following are the correct steps to proving a statement using indirect proof?

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About This Quiz & Worksheet

This quiz and worksheet will gauge your understanding of indirect proofs. The quiz will also assess your comprehension of concepts like initial assumptions and contradictions.

Quiz & Worksheet Goals

In these assessment tools you will identify:

  • Initial assumptions in the process of using indirect proofs
  • The correct steps to proving a statement is true by using an indirect proof
  • The definition of a contradiction

Skills Practiced

This worksheet and quiz let you practice the following skills:

  • Problem solving - use acquired knowledge to solve indirect proofs practice problems
  • Defining key concepts - ensure that you can accurately define important concepts, such as contradiction and the steps to using an indirect proof
  • Information recall - access the knowledge you've gained regarding proof by contradiction

Additional Learning

To learn more about using contradiction to prove something is true, review the lesson Indirect Proof in Geometry: Definition & Examples, which covers the following objectives:

  • Define direct proof
  • Identify contradictions
  • Know when to use the indirect proof method