Give a reason why TS ot NP

Here are the solutions to the problems:

4.1 Give a reason why $TS \perp NP$.

Step 1: Identify the given information.
The problem states that $T$ is the center of the circle, and $P$ and $N$ are points on the circle. Therefore, $TP$ and $TN$ are radii, which means $TP = TN$. This makes $\triangle TPN$ an isosceles triangle.
The problem also states that $NS = PS$. From the diagram, $P, N, S$ are collinear, and $N$ lies between $P$ and $S$. The markings on the line segment $PS$ indicate that $PN = NS$. This