
\subsection{Positions relatives d'une droite et d'un plan}

\begin{propriete}
 \begin{tableau}[l]{\linewidth}{3}%{>{\centering}m{4.2cm}}
 \hline
  $(d)$  est strictement parallèle à $(ABF)$&   $(d)$ est incluse dans $(HDC)$ &   $(d)$  est sécante à $(ABC)$\\\hline
\begin{tikzpicture}[general, scale=0.35]
\draw[color=H4, fill=H4] (0,0)--(4,0)--(6,2)--(2,2)--cycle;
\draw (0,0)--(4,0)--(4,4)--(0,4)--cycle;  
\draw (0,4)--(2,6)--(6,6)--(4,4);
\draw (6,6)--(6,2)--(4,0);
\draw[dashed] (0,0)--(2,2)--(6,2);
\draw[dashed] (2,2)--(2,6);
\draw (0,0) node[left] {$A$};
\draw (4,0)node[right] {$B$};
\draw (4,4)node[below right] {$C$};
\draw (0,4)node[left] {$D$};
\draw (2,2)node[left] {$E$};
\draw (6,2)node[right] {$F$};
\draw (6,6)node[right] {$G$};
\draw (2,6)node[left] {$H$};
\draw[ epais, color=F1] (0.9,4.7)--(5.3,5.7);
%\draw[ epais, color=F1] (1.1,4.5)--(4.1,4.5);
\end{tikzpicture}&
\begin{tikzpicture}[general, scale=0.35]
\draw[color=H4, fill=H4] (0,4)--(2,6)--(6,6)--(4,4)--cycle;
\draw (0,0)--(4,0)--(4,4)--(0,4)--cycle;  
\draw (0,4)--(2,6)--(6,6)--(4,4);
\draw (6,6)--(6,2)--(4,0);
\draw[dashed] (0,0)--(2,2)--(6,2);
\draw[dashed] (2,2)--(2,6);
\draw (0,0) node[left] {$A$};
\draw (4,0)node[right] {$B$};
\draw (4,4)node[below right] {$C$};
\draw (0,4)node[left] {$D$};
\draw (2,2)node[left] {$E$};
\draw (6,2)node[right] {$F$};
\draw (6,6)node[right] {$G$};
\draw (2,6)node[left] {$H$};
\draw[ epais, color=F1] (0.9,4.7)--(5.3,5.7);
\end{tikzpicture}&
\begin{tikzpicture}[general, scale=0.35]
\draw[color=H4, fill=H4] (0,0)--(4,0)--(6,2)--(2,2)--cycle;
\draw (0,0)--(4,0)--(4,4)--(0,4)--cycle;  
\draw (0,4)--(2,6)--(6,6)--(4,4);
\draw (6,6)--(6,2)--(4,0);
\draw[dashed] (0,0)--(2,2)--(6,2);
\draw[dashed] (2,2)--(2,6);
\draw (0,0) node[left] {$A$};
\draw (4,0)node[right] {$B$};
\draw (4,4)node[below right] {$C$};
\draw (0,4)node[left] {$D$};
\draw (2,2)node[left] {$E$};
\draw (6,2)node[right] {$F$};
\draw (6,6)node[right] {$G$};
\draw (2,6)node[left] {$H$};
%\draw[tres epais, color=A1] (3.5,6.5)--(1.5,-0.5);
\draw[ epais, color=F1] (3.5,6.5)--(3.07,5);
\draw[ epais, color=F1] (3.07,5) node {$-$};
\draw[ epais, color=F1] (2,1.12) node {$-$};
\draw[ epais, color=F1, dashed] (1.64,0)--(3.07,5);
\draw[ epais, color=F1] (1.64,0)--(1.5,-0.5);
%\draw[ epais, color=F1] (6.5,6.5)--(5,5);
%\draw[ epais, color=F1] (6.5,6.5)--(5,5);
%\draw[ epais, color=F1] (1.1,4.5)--(4.1,4.5);
\end{tikzpicture}
\\\hline
 \end{tableau}
 Une droite est parallèle à un plan si et seulement si elle est parallèle à une droite du plan.
\end{propriete}

