3.2 - Parallel Lines and Transversals

​

To use properties of parallel lines to find angle measures.​

​

​We gave names to the angle pairs created when two lines are cut by a transversal.

​Alternate

Interior Angles​

​Alternate

Exterior Angles​

​Corresponding Angles​

​Consecutive

Interior Angles​

​Consecutive

Exterior Angles​

​Vertical

Angles​

​If we explore the specific case of two parallel lines cut by a transversal, we find that the angle measures have certain relationships.

​

• ​Corresponding Angles are congruent

• ​Alternate Interior Angles are congruent

• ​Alternate Exterior Angles are congruent

• ​Consecutive Interior Angles are supplementary

• ​Consecutive Exterior Angles are supplementary

​

Previously we had learned that:

• vertical angles are always congruent

• angles that form a linear pair are always supplementary