Final answer:
The converse of AIA, AEA, CIA, CEA refers to the converse theorems of the Alternate Interior Angles Theorem, Alternate Exterior Angles Theorem, Corresponding Interior Angles Theorem, and Corresponding Exterior Angles Theorem. The sets of lines that are parallel are the ones that satisfy the converse theorems.
Step-by-step explanation:
Converse of AIA, AEA, CIA, CEA refers to the converse of the Alternate Interior Angles Theorem, the Alternate Exterior Angles Theorem, the Corresponding Interior Angles Theorem, and the Corresponding Exterior Angles Theorem.
The sets of lines that are parallel are the ones that have the same angle relationships as the original theorems. For example, if AIA is the Alternate Interior Angles Theorem, then its converse would be that if two lines are cut by a transversal and the alternate interior angles are equal, then the lines are parallel.
So, the sets of lines that are parallel are the ones that satisfy the converse theorems for AIA, AEA, CIA, CEA.