1. Angle Relationships with Parallel Lines

2. Vocabulary Transversal
Angles 1, 2, 5, 6 are on the alternate side of the transversal from 4, 3, 8, and 7.
Angles 2, 3, 5, and 7 are on the inside of the parallel lines, therefore they are interior
Angles 1, 4, 6, and 7 are on the outside of the parallel lines, therefore they are exterior

3. Corresponding Angles ∠1 & ∠5 ∠2 & ∠6 1 ∠3 & ∠7 4 2 ∠4 & ∠8 3 5 8 6 7
(Same Position)
∠1 & ∠5
∠2 & ∠6
∠3 & ∠7
∠4 & ∠8 1 4 2 3 5 8 6 7
Corresponding angles are CONGRUENT

4. Alternate Interior Angles
∠2 & ∠8
∠3 & ∠5 1 4 2 3 5 8 6 7
Alternate Interior angles are CONGRUENT

5. Alternate Exterior Angles
∠1 & ∠7
∠4 & ∠6 1 4 2 3 5 8 6 7
Alternate Exterior angles are CONGRUENT

6. Consecutive Interior Angles-Same Side Interior
∠2 & ∠5
∠3 & ∠8 1 4 2 3 5 8 6 7
Consecutive Interior-Same-Side Interior angles are SUPPLEMENTARY

7. One of these things is not like the other…
Congruent
Supplementary
Corresponding
Alternate Interior
Alternate exterior
Same-Side Interior

8. Example 1

9. Example 2

10. Example 3

11. Example 4