# Definition:Quadrilateral/Parallelogram/Altitude

< Definition:Quadrilateral | Parallelogram(Redirected from Definition:Altitude of Parallelogram)

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## Definition

An **altitude** of a parallelogram is a line drawn perpendicular to its base, through one of its vertices to the side opposite to the base (which is extended if necessary).

In the parallelogram above, line $DE$ is an **altitude** of the parallelogram $ABCD$.

The term is also used for the length of such a line.

## Also defined as

The word **altitude** is often used in the context of a geometric figure to mean the **height**.

However, on $\mathsf{Pr} \infty \mathsf{fWiki}$ it is preferred if the terms **altitude** and **height** are used specifically to mean respectively the **perpendicular** and its **length**, to avoid confusion.