8. Intersecting Lines in a Cube

The given cube \(PTUVGFRS\) in which the points are marked on the edges. The point \(A\) on \(TF\), point \(B\) on \(UR\), point \(C\) on \(GS\), point \(D\) on \(PV\).

 

 

1. Which of these lines will the line $\mathit{TD}$ intersect?

 

• $\mathit{VU}$
• $\mathit{SV}$
• with both the lines
• with none of the lines

 

2. Do the lines $\mathit{GS}\mathit{and}\mathit{TF}$ intersect?