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corresponding angle theorem: if two lines are cut by a, then corresponding angles are. conversely, if two lines are cut by a and corresponding angles are, then the lines have to be. mark another pair of corresponding angles and the parallel lies
The Corresponding Angle Theorem is a fundamental concept in geometry. When two parallel lines are intersected by a transversal (a line that crosses two or more other lines), the corresponding angles (angles in the same relative position at each intersection) are congruent (equal in measure). Conversely, if two lines are cut by a transversal and the corresponding angles are congruent, then the two lines must be parallel. This is a key property used in proving lines are parallel and in solving problems related to angles formed by parallel lines and transversals.
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