Question

write the coordinates of the vertices after a reflection over the line $y = x$.
$s(square,square)$
$t(square,square)$
$u(square,square)$
$v(square,square)$

Explanation:

Step1: Find original coordinates

For point \(S\), from the graph, \(S=(3,-6)\).
For point \(T\), \(T=(8,-3)\).
For point \(U\), \(U=(3,-2)\).
For point \(V\), \(V=(-3,-3)\).

Step2: Apply reflection rule

The rule for reflection over the line \(y = x\) is \((x,y)\to(y,x)\).
For \(S=(3,-6)\), after reflection \(S'=(-6,3)\).
For \(T=(8,-3)\), after reflection \(T'=(-3,8)\).
For \(U=(3,-2)\), after reflection \(U'=(-2,3)\).
For \(V=(-3,-3)\), after reflection \(V'=(-3,-3)\).

Answer:

\(S'(-6,3)\), \(T'(-3,8)\), \(U'(-2,3)\), \(V'(-3,-3)\)