Which statement correctly describes the relationship of corresponding angles when two lines are cut by a transversal and the lines are parallel?

Which statement correctly describes the relationship of corresponding angles when two lines are cut by a transversal and the lines are parallel?

• A. They are congruent.
• B. They are supplementary.
• C. They are complementary.
• D. They are vertical angles.

Answer: (C)

When a transversal cuts two parallel lines, corresponding angles have equal measures. This means the angle in a given relative position at the first intersection matches the angle in the same relative position at the second intersection. The parallel lines constrain the tilt of the transversal so the angle it makes with each line is the same, so those corresponding angles are congruent. This is not about angles summing to 180 or 90, and vertical angles occur at the same intersection, not across the two intersections.

When a transversal cuts two parallel lines, corresponding angles have equal measures. This means the angle in a given relative position at the first intersection matches the angle in the same relative position at the second intersection. The parallel lines constrain the tilt of the transversal so the angle it makes with each line is the same, so those corresponding angles are congruent. This is not about angles summing to 180 or 90, and vertical angles occur at the same intersection, not across the two intersections.