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:
             • Vertically opposite angles
             • Alternate exterior angles
             • Corresponding angles
             • Linear pair
             • Alternate interior 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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