\begin{definition}[Definition:Intersection (Geometry)]
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.
\end{definition}