Perpendicular Lines

Perpendicular Lines

Lines that intersect at right angles.

The relationship of perpendicularity between the lines in a geometric plane is symmetric but neither reflexive nor transitive.

Symbol

The relationship of perpendicularity between two lines is written using the symbol “$$\perp$$” and is read “is perpendicular to”.

Example

The figure shows $$\mathit{l}_{1}\perp \mathit{l}_{2}$$.
In the figure, the right angle is represented by a small square in one of the angles formed by the two perpendicular lines.

Historical note

French mathematician Pierre Herigone was the first to use the symbol $$\perp$$ as the symbol for perpendicularity in his book Cursus Mathematicus in 1634.