Lesson 6

Try This 3

 

Use the applet Parallel Lines to compare the relationships between angles formed when two parallel lines are intersected by a transversal.

 

 

• Move the location where line UV (the transversal) crosses the two parallel lines by moving point U or point V. How are the angles related when a transversal intersects two parallel lines? (Be sure to also consider relationships between all eight angles).
  
  
• Click on point Q to move the direction of the parallel lines QR and ST.
  
  
• What do you notice about the relationships between the measures of the angles when the direction of the parallel lines changes? Based on your observations, make at least three conjectures about the relationships between angles formed when two parallel lines are intersected by a transversal. You may choose to describe your conjectures using words, a diagram, or the strategy of your choice.

Share 1

 

Compare your observations and conjectures you developed from using the applets in Try This 1, Try This 2, and Try This 3 with another student or appropriate partner. In your discussion, consider the following questions:

• How are your conjectures about relationships between angle measures similar? How are they different?
  
  
• What do your findings from Try This 2 tell you about your conjectures for angles formed in Try This 3 for when a line intersects two parallel lines? For instance, do your conjectures apply to non-parallel lines as well?
  
  
• Based on your conversations, do you feel you need to revise any of your conjectures from Try This 1 and Try This 3?