Redraw the image, ignoring one of the four lines each time.
No, see solution.
Practice makes perfect
Let's redraw the figure focusing on two lines and a single transversal.
Are lines r and s parallel?
Let's see if lines r and s are parallel when line q is a transversal.
If we knew m∠3, or the measure of any angle around it, we could determine if the lines are parallel. However, with the current information, no determination can be made. Now let's check when line p is a transversal.
Again, we run into the same scenario. If only we knew m∠2 or any of the measures around it. Since we do not have enough information, we cannot determine if line r is parallel to line s.
Are lines p and q parallel?
Let's redraw the image again, but this time see if lines p and q are parallel when r is a transversal.
Again, we see that there just is not enough information to make a determination as we would need m∠2 or some measure around it. How about when line s is the transversal?
Once again, we lack the necessary information to make a determination as we would need m∠3 or some measure around it. We have not been able to say that any of the lines are parallel and we have exhausted all possible cases.
