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Proving lines are parallel

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Robert Hammarstrand
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Proving Lines are Parallel
Properties of Parallel Lines ,[object Object],[object Object],Converse: ,[object Object]
Biconditional: ,[object Object]
[object Object],Theorem: Alternate Interior Angles: Converse: ,[object Object]
[object Object],Theorem: Consecutive Interior Angles: Converse: ,[object Object]
[object Object],Theorem: Alternate Exterior Angles: Converse: ,[object Object]
Proof of Alternate Interior Angles Converse Statement Reason 1 ∠ 1 ≅ ∠ 2 Given 2 ∠ 2 ≅ ∠ 3 Vertical angles theorem 3 ∠ 1 ≅ ∠ 3 Transitive property of congruence 4 l ⊥ m Converse of corresponding angles postulate
Sailing ,[object Object]
Solution ,[object Object],[object Object]
Homework ,[object Object]

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Proving lines are parallel

  • 1. Proving Lines are Parallel
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7. Proof of Alternate Interior Angles Converse Statement Reason 1 ∠ 1 ≅ ∠ 2 Given 2 ∠ 2 ≅ ∠ 3 Vertical angles theorem 3 ∠ 1 ≅ ∠ 3 Transitive property of congruence 4 l ⊥ m Converse of corresponding angles postulate
  • 8.
  • 9.
  • 10.