Mit
Beispielsweise mit
\draw[blue] (pol.corner 1)--($(pol.corner 1)+(pol.corner 6)-(pol.corner 5)$);
oder
oder einfacher
\draw[blue] (pol.corner 1)--+($(pol.corner 6)-(pol.corner 5)$);
[![alt text][1]][1]
Code:
\documentclass[border=5mm, tikz]{standalone}
\usetikzlibrary{shapes.geometric, calc}
\begin{document}
\begin{tikzpicture}[every path/.style={thick},]
\pgfmathtruncatemacro{\Kanten}{12}
\node (pol) [
draw, dashed,
minimum size=0.9\textwidth,
regular polygon,
rotate=360/(2*\Kanten),regular polygon sides=\Kanten
]{};
\foreach\n in {1,..., \Kanten} {%
\node[] at (pol.side \n) {\n};
\node[draw] at (pol.corner \n) {\n};
}
% Parallelverschiebung
\draw[red] (pol.corner 5) -- (pol.corner 6);
\draw[blue] (pol.corner 1)--+($(pol.corner 6)-(pol.corner 5)$);
\end{tikzpicture}
\end{document}
[1]: https://texwelt.de/wissen/upfiles/tw_parallelverschiebung.png