Which term describes two angles that occupy corresponding positions at each intersection of a transversal with two lines?

Which term describes two angles that occupy corresponding positions at each intersection of a transversal with two lines?

• A. Vertical Angles
• B. Complementary Angles
• C. Corresponding Angles
• D. Similar

Answer: (C)

Corresponding angles are the pair of angles that occupy the same relative position at each intersection of a transversal with two lines. At each intersection there are four angles, and choosing the same corner on both intersections—such as the top-left with the top-left, or the bottom-right with the bottom-right—gives corresponding angles. When the two lines are parallel, these angles are equal in measure, which is useful for reasoning about angles without measuring. For example, with two parallel lines cut by a diagonal transversal, the upper-left angle at the first intersection equals the upper-left angle at the second intersection. This differs from vertical angles, which are opposite each other at the same intersection, and from complementary angles, which sum to 90 degrees.

Corresponding angles are the pair of angles that occupy the same relative position at each intersection of a transversal with two lines. At each intersection there are four angles, and choosing the same corner on both intersections—such as the top-left with the top-left, or the bottom-right with the bottom-right—gives corresponding angles. When the two lines are parallel, these angles are equal in measure, which is useful for reasoning about angles without measuring. For example, with two parallel lines cut by a diagonal transversal, the upper-left angle at the first intersection equals the upper-left angle at the second intersection. This differs from vertical angles, which are opposite each other at the same intersection, and from complementary angles, which sum to 90 degrees.