What are corresponding angles?

Question

When two lines are cut by a transversal, corresponding angles are created.  Do the two lines that are cut by the transversal have to be parallel?

Answer 1

~~When two lines are cut by a transversal, corresponding angles are created.  Do the two lines that are cut by the transversal have to be parallel?  yes

the letters refer to the corresponding angles.  Note that they look the same size...

 

 

Answer 2

no, they do not have to be parallel. Even when they are not parallel, corresponding angles are created. However, the angles in this case, are not congruent.