Angle Relationships with Parallel Lines
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
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
Alternate Interior Angles ∠2 & ∠8 ∠3 & ∠5 1 4 2 3 5 8 6 7 Alternate Interior angles are CONGRUENT
Alternate Exterior Angles ∠1 & ∠7 ∠4 & ∠6 1 4 2 3 5 8 6 7 Alternate Exterior angles are CONGRUENT
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
One of these things is not like the other… Congruent Supplementary Corresponding Alternate Interior Alternate exterior Same-Side Interior
Example 1
Example 2
Example 3
Example 4