GeoGebra Classroom

# Lines Cut by a Transversal

In this activity, we will compare lines cut by a transversal to compare constructed angles. Blue points can be dragged to manipulate the lines. 1) Consider corresponding angles ().
• What, if any, relationships exist between the corresponding angles when the lines intersect?
• What, if any, relationships exist between the corresponding angles when the lines are parallel?
2) Consider alternate exterior angles ()
• What, if any, relationships exist between the alternate exterior angles when the lines intersect?
• What, if any, relationships exist between the alternate exterior angles when the lines are parallel?
3) Consider alternate interior angles ()
• What, if any, relationships exist between the alternate interior angles when the lines intersect?
• What, if any, relationships exist between the alternate interior angles when the lines are parallel?
4) Are there any relationships between angles regardless of whether or not the lines are intersecting?