Question

which segment is opposite to $\angle s$?
answer
$\overline{wy}$ $\overline{sy}$ $\overline{sw}$

Explanation:

Step1: Recall triangle side-angle opposite rule

In a triangle, the side opposite an angle is the side that does not form the angle (i.e., it is across from the angle). For \(\angle S\) in \(\triangle SWY\) (right - angled at \(W\)), we identify the vertices of \(\angle S\) as \(S\), \(W\), and \(S\), \(Y\). So the side opposite \(\angle S\) should be the side connecting the other two vertices (not including \(S\)), which are \(W\) and \(Y\).

Step2: Identify the side

The side connecting \(W\) and \(Y\) is \(\overline{WY}\). The side \(\overline{SY}\) is adjacent to \(\angle S\) (forms \(\angle S\) with \(\overline{SW}\)), and \(\overline{SW}\) is also adjacent to \(\angle S\) (forms \(\angle S\) with \(\overline{SY}\)).

Answer:

A. \(\overline{WY}\)