Question

write the coordinates of the vertices after a reflection over the line $y = x$.

Explanation:

Step1: Find the original coordinates of point Q

From the graph, the coordinates of point Q are \((-4,-10)\).

Step2: Apply the reflection rule over the line \(y = x\)

The rule for reflecting a point \((x,y)\) over the line \(y=x\) is \((x,y)\to(y,x)\).
For the point \(Q(-4,-10)\), when we swap the \(x\) and \(y\) - coordinates, we get \(Q'(-10,-4)\).

Answer:

\((-10,-4)\)