Level:
Project ID:
1103059602
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 \( XYZ \) which is defined by:
\begin{align*}
X&\text{ is the midpoint of the edge }AD,\\
Y&\in CD\ \wedge\ |DY|=3|CY|,\\
Z&\in BV\ \wedge\ |BZ|=3|VZ|
\end{align*}
(see the picture). What is the cross-section of the pyramid if we slice it with the plane \( XYZ \)?
a pentagon \( XYKZL \) with points \( K \) and \( L \) lying on the edges \( CV \) and \( AV \)
a triangle \( XYZ \)
a quadrilateral \( XYZL \) with point \( L \) lying on the edge \( AV \)
a quadrilateral \( XYKZ \) with point \( K \) lying on the edge \( CV \)