How to Construct an Angle Trisection

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question 1 of 3

What is an angle trisection of an angle ∠ABC?

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1. Which of the following is a true statement?

2. Which of the following is NOT a step in Archimedes' construction of an angle trisection of the angle ∠ABC?

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About This Quiz & Worksheet

With our quiz/worksheet combo, we've created an easy way for you to test your understanding of the construction of angle trisections. As you take this quiz, you'll be asked about how angle trisections compare to angles, the characteristics of angle trisections and the steps involved in Archimedes' construction of an angle trisection.

Quiz & Worksheet Goals

Take this quiz to assess your ability to:

  • Describe characteristics of angle trisections
  • Detail accurate statements about angle trisections
  • Outline the steps in Archimedes' construction of an angle trisection
  • Answer practice angle trisection problems
  • Identify the correct angle trisections in an example angle diagram

Skills Practiced

  • Problem solving - use acquired knowledge to solve angle trisection practice problems
  • Interpreting information - verify that you can read information regarding the steps used in Archimedes' construction of an angle trisection and interpret it correctly
  • Reading comprehension - ensure that you draw the most important information from the related lesson on the construction of angle trisections
  • Knowledge application - use your knowledge to answer questions about the characteristics of angle trisections

Additional Learning

For more information about this mathematical topic, take a look at our lesson titled How to Construct an Angle Trisection. In addition to the topics covered on this quiz, you'll also review how to:

  • Describe the tools needed to construct an angle trisection
  • Explain when it was discovered that it's impossible to construct an angle trisection with an unmarked straightedge
  • Detail the theorems used to prove angle trisection construction does work
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