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Proving Lines are Parallel with a Transversal

Proving Lines are Parallel with a Transversal

Description:
  1.  

    Demonstrate how if two lines are cut by a transversal so that corresponding angles, alternate interior angles, or alternate exterior angles are congruent, then the lines are parallel.

  2.  

    Demonstrate how if two lines are cut by a transversal so that consecutive interior angles, or consecutive exterior angles are supplementary, then the lines are parallel.

  3.  

    Provide examples that demonstrate how to determine if lines are parallel or not using the converse postulates and theorems.

  4. Provide examples that demonstrate solving for unknown variables and angle measures to determine if lines are parallel or not (ex.  

     

    Does the diagram give enough information to conclude that a ǀǀ b?

     

 

This packet should help a learner seeking to understand how to prove that lines are parallel using converse postulates and theorems.

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Tutorial

How to Prove Lines are Parallel with a Transversal

This video explains how to use the properties of angles formed by transversals to prove whether or not lines are parallel.

Practice Problems

This video provides some practice problems for learners to check their understanding of the concepts from this packet.