When a transversal intersects two parallel lines, what is the relationship between corresponding angles?

• A. Alternate Interior
• B. Vertical
• C. Congruent
• D. Supplementary

Answer: (C)

Corresponding angles formed when a transversal intersects two parallel lines are congruent. The two lines run in the same direction, so the angle in a given corner relative to the transversal appears in the same position at both intersections. If one corresponding angle is 60 degrees, the corresponding angle at the other intersection is also 60 degrees. This equality reflects how parallel lines keep the transversal cutting them with the same orientation. Vertical angles are equal too, but they sit at the same intersection, while alternate interior angles are equal and lie between the lines on opposite sides. Supplementary angles sum to 180 degrees, which is a different kind of relationship.