Question

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

Explanation:

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

When reflecting a point \((a,b)\) over the line \(y=x\), the new coordinates are \((b,a)\).

Step2: Find coordinates of \(D\)

From the graph, \(D=(6, - 9)\). After reflection over \(y = x\), \(D'=(-9,6)\).

Step3: Find coordinates of \(E\)

From the graph, \(E=(10,-9)\). After reflection over \(y = x\), \(E'=(-9,10)\).

Step4: Find coordinates of \(F\)

From the graph, \(F=(10,0)\). After reflection over \(y = x\), \(F'=(0,10)\).

Step5: Find coordinates of \(G\)

From the graph, \(G=(8,0)\). After reflection over \(y = x\), \(G'=(0,8)\).

Answer:

\(D'(-9,6)\)
\(E'(-9,10)\)
\(F'(0,10)\)
\(G'(0,8)\)