Exploring Parallel Lines cut …
Two lines cut by a transversal form 8 angles.
Click on a term to view the angle pairs. There are unique properties for pairs of these angles.
Follow the directions below the graph to explore these special properties. Answer the questions with your partner on another sheet of paper.
1. Move the blue and yellow lines until they are parallel to one another. (What do you know about the slopes of parallel lines?)
2. What do you notice about the measures of the Alternate Interior and Alternate Exterior Angles when
the two lines are parallel?
3. Move the transversal around while have the angle measures showing. Is what you noticed still true? Was it true when the lines were not parallel?
4. What is true about the measures of the consecutive (same side) interior angles when the lines are parallel?