\begin{definition}[Definition:Similar Triangles]
Similar triangles are triangles whose corresponding angles are the same, but whose corresponding sides may be of different lengths.
:360px
Thus $\triangle ABC$ is similar to $\triangle DEF$:
:$\angle ABC = \angle EFD$
:$\angle BCA = \angle EDF$
:$\angle CAB = \angle DEF$
\end{definition}