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