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: Find original coordinates

From the graph, \(A(-3,-9)\), \(B(3,-9)\), \(C(7,-6)\), \(D(1,-6)\)

Step2: Apply reflection rule

The rule for reflection over \(y = x\) is \((x,y)\to(y,x)\)
For \(A(-3,-9)\): \((-3,-9)\to(-9,-3)\)
For \(B(3,-9)\): \((3,-9)\to(-9,3)\)
For \(C(7,-6)\): \((7,-6)\to(-6,7)\)
For \(D(1,-6)\): \((1,-6)\to(-6,1)\)

Answer:

\(A'(-9,-3)\)
\(B'(-9,3)\)
\(C'(-6,7)\)
\(D'(-6,1)\)