Parallel Lines

Parallel Lines

1. Two Lines are said to be Parallel when they do not meet at any point in a Plane . Lines which do not have a common intersection point and never cross path with each other are Parallel to each other.

   • If two Parallel lines are cut By the Transversal, then the
     • Pair of corresponding angles are equal
     • Pairs of alternate ( Interior as well as exterior ) angles are equal
     • Interior angles on the same side of the Transversal are Supplementary
   • If a Transversal cuts a pair of the lines in such a way that
     • The angles of any pair of Corresponding angles are Equal
     • The angles of any pair of Alternate interior angles are equal
     • The angle of any pair of interior angles on the same side of transversal are supplementary, then the lines are PARALLEL

2. DISTANCE BETWEEN PARALLEL LINES

   • The distance between parallel line does not change, it is the same everywhere.

3. LINES PARALLEL TO A GIVEN LINES

   • Lines, parallel to a given line in a plane, are parallel to each other.
   • Two lines in the same plane perpendicular to a given line are parallel to each other.