\begin{tikzpicture}[scale=3.5]
\path (9,{1/sqrt(2)}) pic[tangram,rotate=-45] {small triangle}
++(-45:1) pic[tangram,rotate=-45] {square}
pic[tangram,rotate=-45,yscale=-1] {big triangle}
++(-45:2) pic[tangram,rotate=-135] {big triangle}
+({-sqrt(2)},0) pic[tangram,rotate=-135] {parallelogram}
++(-2,{-2*sqrt(2)}) pic[tangram] {medium triangle}
++(2,1) pic[tangram,rotate=-90] {small triangle}
;
\end{tikzpicture}
