The correct statement that determines if two lines are parallel is:

Corresponding angles are congruent.

This is based on the Corresponding Angles Postulate, which states that when a transversal intersects two parallel lines, the corresponding angles are equal in measure. This congruence indicates that the lines are parallel.

Would you like more details or have any further questions?

Here are 5 related questions:

1. What is the definition of corresponding angles?
2. How can alternate interior angles help identify parallel lines?
3. Why are vertical angles always congruent regardless of parallelism?
4. How do supplementary angles differ from congruent angles?
5. What is a transversal line, and how does it interact with parallel lines?

Tip: When solving problems involving parallel lines, always look for a transversal that creates recognizable angle pairs, such as corresponding or alternate angles!