Level:
Project ID:
1103059601
Source Problem:
Accepted:
1
Clonable:
1
Easy:
0
Let \( ABCDV \) be a rectangle based-pyramid and \( V \) its apex. The pyramid is sliced by a plane \( EFG \) which is defined by:
\begin{align*}
E&\in BC\ \wedge\ |BE|=2|CE|, \\
F&\in AV\ \wedge\ |AF|=2|VF|, \\
G&\in DV\ \wedge\ |DG|=2|VG|
\end{align*}
(see the picture). What is the cross-section of the pyramid if we slice it with the plane \( EFG \)?
a trapezium \( BCGF \)
a triangle \( EFG \)
a triangle \( AEV \)
a pentagon \( ABEGF \)