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.

   • The perpendicular distance between the two parallel lines is always constant.
   • If Two Parallel Lines are cut by a transversal , then the -
     • - pairs of Corresponding angles are Equal.
     • - pairs of Alternate ( interior as well as exterior ) angles are equal.
       • Pairs of Angles
         • Lines can either be parallel or intersecting. When two lines meet at a point in a plane, they are known as intersecting lines. If a line intersects two or more lines at distinct points then it is known as a transversal line.
           • When a transversal intersects two parallel lines, then pairs of angles are formed, such as:
             • Corresponding Angles
             • Linear Pair
             • Alternate Exterior Angles
             • Alternate Interior Angles
             • Vertically Opposite Angles
     • - Interior angles on the same side of the transversal are supplementary
   • The distance between parallel lines does not change . It is the same every where.

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