Question

write the coordinates of the vertices after a reflection over the line $y = x$.$b(square,square)$$c(square,square)$$d(square,square)$$e(square,square)$

Explanation:

Step1: Recall the rule for reflection over \(y = x\)

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

Step2: Find the original coordinates

From the graph:

• \(B=(1, - 10)\)
• \(C=(1,-1)\)
• \(D=(9,-1)\)
• \(E=(9,-8)\)

Step3: Apply the reflection rule

• For \(B=(1,-10)\), after reflection \(B'=(-10,1)\)
• For \(C=(1,-1)\), after reflection \(C'=(-1,1)\)
• For \(D=(9,-1)\), after reflection \(D'=(-1,9)\)
• For \(E=(9,-8)\), after reflection \(E'=(-8,9)\)

Answer:

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