Download 3.2 - Parallel Lines and Transversals.notebook

3.2 ­ Parallel Lines and Transversals.notebook
Mental Floss: Mon. Jan 9th January 12, 2017
Mental Floss: Tues. Jan 10th If a||b, find all missing angle measures.
Find the values of x and y.
a
b
3.2 ­ Parallel Lines and Related Angles
1 2 Transversal = A line that intersects two coplanar lines at two distinct points.
Corresponding Angles
1.) On the same side of the transversal
Pod 1 2 3 4 3 4 Two coplanar lines
Both in upper right, just different "pods" Pod 5 6 7 8
Alternate Interior Angles (AIA) 1 2 3 5
4 2.) Both angles in the same location, just a different "pod"
5
6 7 8 Examples:
Alternate Exterior Angles (AEA) 1.) Alternate ­ On opposite sides of the transversal
1 2 2.) Interior ­ Both angles in between the two lines
3 4 1.) Alternate ­ On opposite sides of the transversal
2.) Exterior ­ Both angles outside the two lines
6 7 8 Examples:
5
6 7 8 Examples:
1
3.2 ­ Parallel Lines and Transversals.notebook
Same Side Interior Angles (SSI)
1 2 3 4 January 12, 2017
Same Side Exterior Angles (SSE)
1.) Same Side ­ On the same side of the transversal.
1 2 3 4 2.) Interior ­ Both angles in between the two lines
5
5
6 7 8 1.) Same Side ­ On the same side of the transversal
2.) Exterior ­ Both angles outside the two lines
6 7 8 Examples:
Examples:
Name
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Examples
Descripon
­Same location, different "pod"
­Same side transversal
­Opposite sides of the transversal
­Both angles between the || lines
­Opposite sides of the transversal
­Both angles outside the || lines
Same Side Interior Angles
­Same side of the transversal
Same Side Exterior Angles
­Same side of the transversal
­Both angles between the || lines
­Both angles outside the || lines
Facts
If lines || ,
then angles ≅
If lines || ,
then angles ≅
If lines || ,
then angles ≅
If lines || ,
then angles supp.
If lines || ,
then angles supp.
2