# Definition:Intersection (Geometry)

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*This page is about intersection in the context of geometry. For other uses, see Definition:Intersection.*

## Definition

The **intersection** of two lines $AB$ and $CD$ is denoted by $AB \cap CD$.

The **intersection** of two geometric figures is the set of points shared by both figures.

Note that this use of $\cap$ is consistent with that of its more usual context of set intersection.

When two lines **intersect**, they are said to **cut** each other.

## Also see

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next): Entry:**meet**:**2.** - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**intersect**