Parallel and Perpendicular Lines

Definition of Parallel and Perpendicular Lines

Parallel Lines are distinct lines lying in the same plane and they never intersect each other. Parallel lines have the same slope. In the figure below, lines PQ and RS are parallel and the lines l and m are parallel.

    Examples of Parallel and Perpendicular Lines

Perpendicular lines are lines that intersect at right angles. If two lines are perpendicular to each other, then the product of their slopes is equal to � 1. In the figure shown below, the lines AB and EF are perpendicular to each other.

    Examples of  Parallel and Perpendicular Lines

Video Examples: Parallel and Perpendicular Lines


Solved Example on Parallel and Perpendicular Lines

Ques: Find the number of points of intersection for one pair of perpendicular lines.

    Choices:
    A. 3
    B. 0
    C. 2
    D. 1
    Correct Answer: D

Solution:

    Step 1: Two lines are said to be perpendicular if they intersect at right angles.
      Examples of  Parallel and Perpendicular Lines

    Step 2: Any two perpendicular Lines intersect at exactly one point.
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