Lines and planes: intersecting, perpendicular, parallel

2000006511

Level: 
B
Let \(ABCDV\) be a rectangle based-pyramid, where \(V\) is its apex and \(K\), \(M\) are the midpoints of its edges \(AD\), \(BV\) respectively. What is the cross-section of the pyramid if we slice it with a plane \(KCM\)?
a quadrilateral \(KCMP\) with point \(P\) lying on the edge \(AV\)
a triangle \(KCM\)
a quadrilateral \(KCMP\) with point \(P\) lying on the edge \(DV\)
a quadrilateral \(KCMP\) with point \(P\) lying on the median \(KV\) if the triangle \(ADV\)

2000006512

Level: 
B
Let \(ABCDV\) be a rectangle based-pyramid, where \(V\) is its apex and \(L\), \(N\) are the midpoints of its edges \(BC\), \(CV\) respectively. What is the cross-section of the pyramid if we slice it with a plane \(ALN\)?
a quadrilateral \(ALNR\) with point \(R\) lying on the edge \(DV\)
a triangle \(ALN\)
a quadrilateral \(ALNR\) with point \(R\) lying on the edge \(AV\)
a quadrilateral \(ALNR\) with point \(R\) lying on the edge \(BV\)