The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.
Consider the following statements:
- The line segment joining $\text{R}$ and $\text{S}$ is longer than the line segment joining $\text{P}$ and $\text{Q}$.
- The line segment joining $\text{R}$ and $\text{S}$ is perpendicular to the line segment joining $\text{P}$ and $\text{Q}$.
- The line segment joining $\text{R}$ and $\text{U}$ is parallel to the line segment joining $\text{T}$ and $\text{Q}$.
Based on the above statements, which one of the following options is $\text{CORRECT}?$
- The line segment joining $\text{R}$ and $\text{T}$ is parallel to the line segment joining $\text{Q}$ and $\text{S}$
- The line segment joining $\text{T}$ and $\text{Q}$ is parallel to the line joining $\text{P}$ and $\text{U}$
- The line segment joining $\text{R}$ and $\text{P}$ is perpendicular to the line segment joining $\text{U}$ and $\text{Q}$
- The line segment joining $\text{Q}$ and $\text{S}$ is perpendicular to the line segment joining $\text{R}$ and $\text{P}$