Which one of the following statements is correct based on the above information?

Let the three corners of the triangle be $C_1, C_2, C_3$ and the mid-points of the sides opposite to them be $M_1, M_2, M_3$ respectively.

1. In a triangle, the only lines connecting two of the six designated points (corners and midpoints) that can be parallel to each other are:

   • A side of the triangle (or two points on that side), and

   • The midline connecting the mid-points of the other two adjacent sides.

2. According to statement 2, $P$ is placed on the side opposite to the corner $T$. Therefore, $P$ lies on the base side opposite to $T$.

3. Since $P$ lies on this side, the line segment containing $P$ (the line joining $P$ and $R$) must lie along that base side.

4. Consequently, the parallel line joining $Q$ and $S$ must be the midline connecting the mid-points of the other two sides.

5. This means both $Q$ and $S$ are mid-points of the two sides adjacent to corner $T$. Therefore, $S$ cannot be placed at a corner.

Thus, option B is the correct statement.