If a transversal cuts two parallel lines, their corresponding angles are congruent. The Corresponding Angles Theorem says that: When a transversal line crosses two lines, eight angles are formed. Here are the four pairs of corresponding angles: Can you find all four corresponding pairs of angles? Which Angles Are Corresponding Angles?Ĭan you find the corresponding angle for a n g l e 2 in our figure?ĭid you notice a n g l e 6 corresponds to a n g l e 2? They are a pair of corresponding angles. They do not touch, so they can never be consecutive interior angles. You can have alternate interior angles and alternate exterior angles.Ĭorresponding angles are never adjacent angles. Angles that are on the opposite side of the transversal are called alternate angles. One is an exterior angle (outside the parallel lines), and one is an interior angle (inside the parallel lines).Ĭorresponding angles are just one type of angle pair. Two angles correspond or relate to each other by being on the same side of the transversal. Corresponding angles in plane geometry are created when transversals cross two lines. A corresponding angle is one that holds the same relative position as another angle somewhere else in the figure.
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