\documentclass[12pt,a4paper]{article}
\usepackage[francais]{babel}
\usepackage{mafr}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{lmodern}
\usepackage[dvipsnames]{xcolor}
\usepackage{pstricks}
\usepackage{pst-eucl}
\begin{document}
\begin{footnotesize}
\begin{pspicture}(0,0)(7,5)%
\pstGeonode[PointName=none,PointSymbol=none](1,1){A}(5,1){B}(5,3){C}(1,3){D}(0,1.5){O}%
\pstRotation[RotAngle=15,PointName={A,B,C,D},PosAngle={-120,-30,60,150}]{O}{A,B,C,D}%
\pspolygon(A')(B')(C')(D')%
\psline[linestyle=dashed](A')(C')\psline[linestyle=dashed](B')(D')%
\pstInterLL[PosAngle=-75]{A'}{C'}{B'}{D'}{M}%
\end{pspicture}
\end{footnotesize}
\end{document}
