Project ID:
6000000081
Accepted:
Type:
Layout:
Question:
Let $ABCDEFGH$ be a cube and let $S$ be the midpoint of the edge $AB$ (see the picture). Match each of the given pairs of lines with the true relative position of the lines.
Unfolding Image:
Question 1:
lines $AH$ and $BG$
Answer 1:
distinct parallel
Question 2:
lines $AG$ and $BH$
Answer 2:
intersecting
Question 3:
lines $AH$ and $BC$
Answer 3:
skew
Question 4:
lines $AS$ and $BS$
Answer 4:
coincident
Tex:
% tiket 32495
\NastavOT{4}
\NastavOD{4}
\def\obrA{\obrMsr[x=2cm,y=2cm,z=0.2cm]{-1}2{-1}2
{
\pgfmathsetmacro{\cubex}{1}
\pgfmathsetmacro{\cubey}{1}
\pgfmathsetmacro{\cubez}{2}
\coordinate (A) at (0,0,0);
\coordinate (B) at (\cubex,0,0);
\coordinate (C) at (\cubex.2,0,\cubez);
\coordinate (D) at (0.2,0,\cubez);
\coordinate (E) at (0,\cubey,0);
\coordinate (F) at (\cubex,\cubey,0);
\coordinate (G) at (\cubex.2,\cubey,\cubez);
\coordinate (H) at (0.2,\cubey,\cubez);
\coordinate (S) at ($(A)!0.5!(B)$);
\draw[thick,dashed] (A) -- (D) node [yshift=-5pt,xshift=3pt]{$D$} -- (C) node [yshift=-5pt,xshift=5pt]{$C$};
\draw[thick,dashed] (D) -- (H);
\draw[thick] (A) node [yshift=-5pt,xshift=-5pt]{$A$} -- (B) node [yshift=-6pt,xshift=3pt]{$B$} -- (F) node [yshift=6pt,xshift=-3pt]{$F$}-- (E) node [yshift=6pt,xshift=-3pt]{$E$} -- cycle;
\draw[thick] (B) -- (C) -- (G) -- (F);
\draw[thick] (G) node [yshift=6pt,xshift=3pt]{$G$} -- (H) node [yshift=6pt,xshift=-3pt]{$H$} -- (E);
\begin{scope}[thick]
\obrKrizek[2pt]{S}{below}{S}
\end{scope}
}}