3.3 - Proving Lines Parallel

3.3 - Proving Lines Parallel

​Objective:

​To use angle pairs to determine if two lines are parallel

​Theorem 3-4

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Multiple Choice

If $$\angle5$$  and $$\angle6$$   are supplementary, which lines are parallel?

• $$l\parallel m$$  

• $$a\parallel b$$  

• None of the lines are parallel

• Not enough information to determine

Multiple Choice

If  $$\angle1\cong\angle4$$  then  $$l\parallel m$$  . What Theorem justifies this statement?

• Converse of the Corresponding Angles Theorem

• Converse of the Alternate Exterior Angles Theorem

• Converse of the Alternate Interior Angles Theorem

• Converse of the Consecutive Interior Angles Theorem

Open Ended

What is the value of $$x$$  for which $$a\parallel b$$  ?