Question

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

Explanation:

Step1: Recall the reflection rule

When reflecting a point \((x,y)\) over the line \(y = x\), the rule is \((x,y)\to(y,x)\).

Step2: Find the original coordinates

From the graph: \(B(-1,-10)\), \(C(-1,-1)\), \(D(9,-2)\), \(E(9,-8)\)

Step3: Apply the reflection rule

For point \(B(-1,-10)\): \((-1,-10)\to(-10,-1)\)
For point \(C(-1,-1)\): \((-1,-1)\to(-1,-1)\)
For point \(D(9,-2)\): \((9,-2)\to(-2,9)\)
For point \(E(9,-8)\): \((9,-8)\to(-8,9)\)

Answer:

\(B'(-10,-1)\), \(C'(-1,-1)\), \(D'(-2,9)\), \(E'(-8,9)\)