if 2 parallel lines are cut by transversals, then corresponding angles are congruent
the alternate exterior angles within the shape are congruent
The statement if 2 parallel lines are cut by transversals, then corresponding angles are congruent is known as the Corresponding Angles Postulate or Theorem.
Corresponding angles are angles that lie on the same side of the transversal and in corresponding positions relative to the parallel lines. When two parallel lines are cut by a transversal, eight angles are formed.
According to the Corresponding Angles Postulate, the corresponding angles are congruent. In other words, the angles that have the same relative positions relative to the two parallel lines and the transversal are equal.
This theorem can be used to solve problems involving the measures of angles formed by parallel lines and transversals, such as finding missing angle measures or proving other angle relationships.
Overall, the Corresponding Angles Postulate is an important theorem in geometry that allows us to better understand and work with parallel lines and transversals.
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Proven: The Congruence Of Alternate Exterior Angles Theorem.