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The Parallel Postulate

Postulate 11 (Parallel Postulate): If two parallel lines are cut by a transversal, then the corresponding angles are equal (Figure 1 ).





Figure 1

Corresponding angles are equal when two parallel lines are cut by a transversal.


This postulate says that if l // m, then

  • m ∠1 = m ∠5

  • m ∠2 = m ∠6

  • m ∠3 = m ∠7

  • m ∠4 = m ∠8

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