Parallel Lines and Perpendicular Lines

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Parallel Lines
Parallel Lines are two lines in a geometric plane that never intersect.

Figure 1.

Lines A and B are parallel. This can be represented by writing A || B.

Perpendicular Lines
Perpendicular Lines are two lines in a geometric plane that intersect to form a 90 degree angle.

Figure 2.

Above, lines A and B are now perpendicular.