Test Academy | The letters P, Q, R, S, T and 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 R and S is longer than the line segment joining P and Q. The line segment joining R and S is perpendicular to the line segment joining P and Q. The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT? The line segment joining T and Q is parallel to the line joining P and U., The line segment joining Q and S is perpendicular to the line segment joining R and P, The line segment joining R and T is parallel to the line segment joining Q and S., The line segment joining R and P is perpendicular to the line segment joining U and Q.

Question

The letters P, Q, R, S, T and 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 R and S is longer than the line segment joining P and Q.
The line segment joining R and S is perpendicular to the line segment joining P and Q.
The line segment joining R and U is parallel to the line segment joining T and Q.
Based on the above statements, which one of the following options is CORRECT?

Options :

The line segment joining T and Q is parallel to the line joining P and U.
The line segment joining Q and S is perpendicular to the line segment joining R and P
The line segment joining R and T is parallel to the line segment joining Q and S.
The line segment joining R and P is perpendicular to the line segment joining U and Q.

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