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Parallel Lines, Transversals, and Angles 3-4B

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Parallel Lines, Transversals, and Angles 3-4B What special relationships happen when a transversal crosses parallel lines? Parallel Crossing You will need a sheet of ... – PowerPoint PPT presentation

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Title: Parallel Lines, Transversals, and Angles 3-4B


1
Parallel Lines, Transversals, and Angles 3-4B
  • What special relationships happen when a
    transversal crosses parallel lines?

2
Parallel Crossing
  • You will need a sheet of paper, a straightedge
    and a protractor.
  • Draw two parallel lines.
  • Draw a transversal through the two lines.
  • Measure all the angles.
  • Do you see any patterns?

3
Try It
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72
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4
Postulate
  • If parallel lines are cut by a transversal, then
    the alternate interior angles are congruent.

x
x
x
x
5
Theorems
  • If parallel lines are cut by a transversal, then
    the corresponding angles are congruent.

6
Theorems
  • If parallel lines are cut by a transversal, then
    the alternate exterior angles are congruent.

7
Theorems
  • If parallel lines are cut by a transversal, then
    same-side interior angles are supplementary.

8
  • What special relationships happen when a
    transversal crosses parallel lines?
  • If parallel lines are cut by a transversal, then
    the alternate interior angles are congruent.
  • If parallel lines are cut by a transversal, then
    the corresponding angles are congruent.
  • If parallel lines are cut by a transversal, then
    the alternate exterior angles are congruent.
  • If parallel lines are cut by a transversal, then
    same-side interior angles are supplementary.

9
Assignment 3-4B
  • p. 223, 1-2, 5-6, 10-12, 15-17
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