\ANG{
% 9/Geometrie/Aehnlichkeit 
\parbox[t]{5cm}{
In nebenstehender (nicht ma"sstabsgetreuer) Abbildung ist folgendes bekannt:
\[\alpha=\beta\]
\[AB\| CE\;\;,\;\;CD\| FE\]
\[a=6\,{\rm cm}\;\;,\;\;b=7,5\,{\rm cm}\]
\[c=10\,{\rm cm}\;\;,\;\;x+y=9,375\,{\rm cm}\]
}\hfill
\raisebox{-53mm}{\parbox[t]{9cm}{
\begin {scriptsize}
\unitlength=1mm
\beginpicture 
\setcoordinatesystem units <1mm,1mm> 
\setplotarea x from 0 to 90, y from 0 to 60 
\inboundscheckon 
\setlinear 
\plot 7 18  80 55 /  
\plot 17.5 50  85 5 /  
\plot 7 18  17.5 50 /  
\plot 85 5  80 55 /  
\plot 66.3 17.3  83 25 /  
\plot 66.3 17.3  80 55 /  
\plot 14.7 40.6  83 25 /  
\put {$\alpha$} at 10.5 22 
\put {$\beta$} at 81.5 11 
\put {$h$} at 75.7 19.7 
\put {$y$} at 86 15 
\put {$x$} at 84 40 
\put {$g$} at 67 23 
\put {$e$} at 74.5 9 
\put {$f$} at 72.7 40 
\put {$a$} at 30 44 
\put {$b$} at 25 25 
\put {$u$} at 14 45 
\put {$v$} at 9 30 
\put {$A$} at 6.5 16 
\put {$B$} at 16.5 52 
\put {$C$} at 64.5 15.5 
\put {$D$} at 85 25 
\put {$E$} at 82 56 
\put {$F$} at 40.5 38 
\put {$G$} at 87 3 
\endpicture 
\end {scriptsize} }}\\
\begin{enumerate}
\item Berechne $d+e$ und konstruiere die Figur! Verwende dazu ein ganzes 
Blatt im Querformat!
\item Berechne in dieser Reihenfolge: $d$, $e$, $x$, $y$, $h$, $u+v$, 
$f+g$, $g$, $f$, $u$ und $v$!
\end{enumerate}

}
\LSG{ 
\begin{enumerate}
\item $\angle AFB=\angle EFG\;\Longrightarrow\;\Delta AFB\sim\Delta EFG$, 
$d+e=12,5\,$cm
\item Alle Angaben in cm: $d=8$; $e=4,5$; $x=6$; $y=3,375$; $h=3,6$; 
$u+v=5,625$; $f+g=7,5$; $g=1\frac{67}{68}$; $f=5\frac{35}{68}$; 
$u=1\frac{133}{272}$ und $v=4\frac{37}{272}$
\end{enumerate}
}
