1103059602

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 \( CV \)