Question

write the coordinates of the vertices after a reflection over the line ( y = x ).
( 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 the coordinates of \(B\)

From the graph, the coordinates of \(B\) are \((0,0)\). Using the reflection rule \((0,0)\to(0,0)\).

Step3: Find the coordinates of \(C\)

From the graph, the coordinates of \(C\) are \((10,0)\). Using the reflection rule \((10,0)\to(0,10)\).

Step4: Find the coordinates of \(D\)

From the graph, the coordinates of \(D\) are \((0, - 6)\). Using the reflection rule \((0,-6)\to(-6,0)\).

Answer:

\(B'(0,0)\)
\(C'(0,10)\)
\(D'(-6,0)\)