# exo41.tex

%@Auteur: François Meria\par
Dans chaque cas, terminer la construction du parallélogramme
$ABCD$, puis en effectuant les mesures nécessaires, calculer
l'aire de chaque parallélogramme.

%\vskip 1cm
\psset{unit=6mm}
\begin{multicols}{2}
\begin{center}
\begin{pspicture}(0,-0.5)(5,3)
\rput{-10}{
\pstGeonode[PointSymbol=none,PosAngle={180,0,180}](0,0){A}(4,0){B}(1.5,3){D}
\pstLineAB{A}{B} \pstLineAB{A}{D}
}
\end{pspicture}
\end{center}
\begin{center}
\begin{pspicture}(0,-0.5)(5,3)
\pstGeonode[PointSymbol=none,PosAngle={0,180,0}](4,0){A}(0,0){B}(1.5,3){D}
\pstLineAB{A}{B} \pstLineAB{A}{D}
\end{pspicture}
\end{center}
\end{multicols}
\begin{multicols}{2}
\begin{center}
\begin{pspicture}(0,-0.5)(5,3)
\rput{-45}{
\pstGeonode[PointSymbol=none,PosAngle={180,0,180}](0,0){A}(4,0){B}(1.5,3){D}
\pstLineAB{A}{B} \pstLineAB{A}{D}
}
\end{pspicture}
\end{center}
\begin{center}
\begin{pspicture}(0,-0.5)(5,3)
\rput{-90}{
\pstGeonode[PointSymbol=none,PosAngle={0,180,0}](4,0){A}(0,0){B}(1.5,3){D}
\pstLineAB{A}{B} \pstLineAB{A}{D}
}
\end{pspicture}
\end{center}
\end{multicols}

\vskip 4cm

\begin{multicols}{2}
\begin{center}
\begin{pspicture}(0,-0.5)(5,3)
\rput{5}{
\pstGeonode[PointSymbol=+,PosAngle={180,0,180}](0,0){A}(4,0){B}(1.5,3){D}
\pstLineAB{A}{B} \pstLineAB{A}{D}
\pstMiddleAB[PointSymbol=+,CodeFig=true,CodeFigColor=black,SegmentSymbol=pstslashh,PosAngle=-22]{B}{D}{O}
\pstLineAB[linestyle=dashed]{A}{O}
}
\end{pspicture}
\end{center}
\begin{center}
\begin{pspicture}(0,-0.5)(5,3)
\rput{15}{
\pstGeonode[PointSymbol=+,PosAngle={0,180,0}](4,0){A}(0,0){B}(1.5,3){D}
\pstLineAB{A}{B} \pstLineAB{A}{D}
\pstLineAB[linestyle=dashed]{B}{D}
}
\end{pspicture}
\end{center}
\end{multicols}
\begin{multicols}{2}
\begin{center}
\begin{pspicture}(0,-3.5)(5,3)
\rput{-45}{
\pstGeonode[PointSymbol=+,PosAngle={180,0,180}](0,0){A}(4,0){B}(1.5,3){D}
\pstLineAB{A}{B} \pstLineAB{A}{D}
}
\end{pspicture}
\end{center}
\begin{center}
\begin{pspicture}(-1,-5)(5,3)
\rput{-90}{
\pstGeonode[PointSymbol=+,PosAngle={0,180,0}](4,0){A}(0,0){B}(1.5,3){D}
}
\end{pspicture}
\end{center}
\par\vspace*{5cm}\par
\end{multicols}
\psset{unit=1cm}
%@Commentaire: {\em Il faut être très précis.}