Prove lines are Parallel

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Section 3.3

• Prove lines are Parallel

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Homework

• Pg 165 6-8,(do not prove) 13-15,(do not prove) 28

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Vocabulary

• Paragraph proof type of proof written in
  paragraph form

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Postulate 16 Corresponding Angles Converse

• Corresponding Angles Converse If two lines are
  cut by a transversal so the corresponding angles
  are congruent, then the lines are parallel.

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Theorem 3.4 Alternate Interior Angles Converse

• If two lines are cut by a transversal so the
  alternate interior angles are congruent, then the
  lines are parallel.

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Theorem 3.5 Alternate Exterior Angles Converse

• If two lines are cut by a transversal so the
  alternate exterior angles are congruent, then the
  lines are parallel.

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Theorem 3.6 Consecutive Interior Angles Converse

• If two lines are cut by a transversal so the
  consecutive interior angles are supplementary,
  then the lines are parallel.

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Theorem 3.7 Transitive Property of Parallel Lines

• If two lines are parallel to the same line, then
  they are parallel to each other.

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Prove Theorem 3.5

• Prove Theorem 3.5 in paragraph form