Using Converse Statements to Prove Lines Are Parallel


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question 1 of 3

To prove the lines are parallel, if angle 3 measured 30 degrees, what must angle 6 measure?

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1. Which of the following is not a converse statement you can use to prove lines are parallel?

2. What must angle 8 equal if angle 1 measures 120 degrees and you wanted to prove the lines parallel?

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About This Quiz & Worksheet

The angles formed by a transverse line and two parallel lines have very specific properties. This quiz will test your understanding of these properties by requiring you to identify the measure of specific angles and converse statements used to prove lines are parallel.

Quiz & Worksheet Goals

In this assessment, you will be tested on:

  • Finding the measure of an angle using one of the four properties
  • Recognizing a converse statement that will NOT prove lines are parallel
  • Identifying which converse statement to use in a given situation
  • Identifying how certain angles must be related in order to use a given converse statement

Skills Practiced

  • Making connections -use your understanding of converse statements to use them correctly in a given situation
  • Interpreting information - verify that you can view information regarding proving parallel lines using converse statements and interpret it correctly
  • Information recall - access the knowledge you've gained regarding the four properties of angles on a set of parallel lines to identify the relevant converse statements
  • Knowledge application - use your understanding of the four properties of angles using parallel lines to find the measures of specific angles on a diagram

Additional Learning

The accompanying lesson, Using Converse Statements to Prove Lines Are Parallel, has more information on this subject. It covers:

  • The definitions of parallel lines and converse statements
  • Four properties of the angles formed by a transversal line and a set of parallel lines
  • How to use a converse statement to prove lines are parallel