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Parallel Lines and Transversals

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Transversal: a line that intersects a pair of lines. 1 2. 3 4 ... If two lines cut by a transversal are parallel, then the corresponding angles are congruent ... – PowerPoint PPT presentation

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Title: Parallel Lines and Transversals


1
Parallel Lines and Transversals
  • Lesson 3.3

2
Definition of transversal
Transversal a line that intersects a pair of
lines.
3
Definition of transversal
1 2
3 4
5 6
7 8
The transversal creates 8 angles
4
Alternate Interior Angles
1
2
3
4
5
6
7
8
Angles between the pair of lines on opposite
sides of the transversal
5
Alternate Exterior Angles
1
2
3
4
5
6
7
8
Angles outside the pair of lines on opposite
sides of the transversal
6
Same Side Interior Angles
1
2
3
4
5
6
7
8
Angles between the pair of lines on same side of
the transversal
7
Corresponding Angles
1
2
3
4
5
6
7
8
Angles in the same relative position to the
transversal
8
Corresponding Angle Postulate
If two lines cut by a transversal are parallel,
then the corresponding angles are congruent
9
Alternate Interior Angle Theorem
If two lines cut by a transversal are parallel,
then alternate interior angles are congruent.
10
Alternate Exterior Angle Theorem
If two lines cut by a transversal are parallel,
then alternate exterior angles are congruent.
11
Same Side Interior Angle Theorem
If two lines cut by a transversal are parallel,
then the same-side interior angles total 180
12
assignment
  • P159 9 - 33
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