# Why such rotate in tikz doesn't work?

    \begin{tikzpicture}
\node [draw=black, anchor=south west] (label) at (0,0){\includegraphics[width=300mm]{th.jpg}};
\coordinate (ZX) at (157mm,104mm);
\coordinate (YB) at (249mm,39mm);
\coordinate (YY) at ($(ZX)!1.5!(YB)$);
\coordinate (ZZ) at ($(YB)!2.5!(ZX)$);
\draw[blue!20,very thick] (ZZ)--(YY);
\draw[red!20,very thick, rotate around={90:(ZX)}] (157mm,104mm)--(249mm,39mm);%It works
\draw[red!20,very thick, rotate around={-90:(ZX)}] (ZX)--(YB);%It doesn't work
\filldraw[white] (ZX) circle (2mm);
\filldraw[white] (YB) circle (2mm);
\end{tikzpicture}


a working example

     \documentclass{minimal}
\usepackage{tikz,tikz-3dplot}

\begin{document}

\tdplotsetmaincoords{70}{115}

\begin{tikzpicture}[scale=4,tdplot_main_coords]
\pgfmathsetmacro{\rvec}{.8}
\pgfmathsetmacro{\thetavec}{30}
\pgfmathsetmacro{\phivec}{60}

\tdplotsetrotatedcoords{\phivec}{\thetavec}{0}

\coordinate (O) at (1,1,1);

%these 2 lines overlap
\draw[thick,->] (O) -- (0,.5,0);
\draw[thick,tdplot_rotated_coords,->] (O) -- (0,.5,0);

%these 2 lines dont overlap
\draw[thick,->] (1,1,1) -- (0,.5,0);
\draw[thick,tdplot_rotated_coords,->] (1,1,1) -- (0,.5,0);
\end{tikzpicture}
\end{document}


In TikZ/pgf, transformations are applied only to numeric coordinates. You can retrieve original numeric coordinates (only 2D) from nodes or coordinates via a let operation:

\draw[red,very thick] let \p1=(ZX),\p2=(YB) in
[rotate around={-90:(ZX)}] (\p1)--(\p2);


A complete example: \documentclass[tikz]{standalone}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\node [draw=black, anchor=south west] (label) at (0,0){\includegraphics[width=300mm]{example-image}};
\coordinate (ZX) at (157mm,104mm);
\coordinate (YB) at (249mm,39mm);
\coordinate (YY) at ($(ZX)!1.5!(YB)$);
\coordinate (ZZ) at ($(YB)!2.5!(ZX)$);
\draw[blue!20,very thick] (ZZ)--(YY);
\draw[red!20,very thick, rotate around={90:(ZX)}]
(157mm,104mm)--(249mm,39mm);%It works

\draw[red,very thick] let \p1=(ZX),\p2=(YB) in
[rotate around={-90:(ZX)}] (\p1)--(\p2);
\filldraw[white] (ZX) circle (2mm);
\filldraw[white] (YB) circle (2mm);
\end{tikzpicture}
\end{document}


Note: This method can't work with 3D coordinates and 3D transformations since node and coordinate stores the 2D projections.