In geometry, parallel lines are two or more lines that reside in the same plane but never intersect, no matter how far they are extended in either direction.
Characteristics of Parallel Lines
- Parallel lines never meet or intersect.
- The distance between the two lines is always the same at every point.
- They lie in the same plane (coplanar).
- When a transversal cuts two parallel lines, several special angle relationships are formed.
Angles Formed by a Transversal
When a transversal intersects two parallel lines, the following angles are formed:
Corresponding angles – equal in measure.
Alternate interior angles – equal in measure.
Alternate exterior angles – equal in measure.
Co-interior (consecutive interior) angles – their sum is 180°.
Co-interior (consecutive interior) angles – their sum is 180°.
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