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Parallel lines are always straight lines that are the same distance apart, they never intersect and they are coplanar (meaning on the same plane).
Chat #1. if corresponding angles are congruent. #2. if alternate interior angles are congruent. #3. if consecutive, or same side, interior angles are supplementary. #4. if two lines are parallel to the same line. #5. if two lines are perpendicular to the same line. #6. if alternate exterior angles are congruent.
If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.
Chat Show corresponding angles are congruent. Show alternate interior angles are congruent. Show alternate exterior angles are congruent. Show same side interior angles are supplementary. Show same side exterior angles are supplementary. Parallel to same line. Perpendicular to same line.
Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.