Question

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

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 coordinates of \(A\)

From the graph, \(A=(7,-9)\). Using the reflection rule \((x,y)\to(y,x)\), for \(A=(7,-9)\), \(A'=(-9,7)\).

Step3: Find coordinates of \(B\)

From the graph, \(B=(7,-5)\). Using the reflection rule \((x,y)\to(y,x)\), for \(B=(7,-5)\), \(B'=(-5,7)\).

Step4: Find coordinates of \(C\)

From the graph, \(C=(7,0)\). Using the reflection rule \((x,y)\to(y,x)\), for \(C=(7,0)\), \(C'=(0,7)\).

Step5: Find coordinates of \(D\)

From the graph, \(D=(0,-5)\). Using the reflection rule \((x,y)\to(y,x)\), for \(D=(0,-5)\), \(D'=(-5,0)\).

Answer:

\(A'(-9,7)\)
\(B'(-5,7)\)
\(C'(0,7)\)
\(D'(-5,0)\)