Question

write the coordinates of the vertices after a reflection over the y-axis.
b(\square, \square)
c(\square, \square)
d(\square, \square)
e(\square, \square)

Explanation:

Step1: Recall the reflection rule

When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Find the coordinates of \(B\)

The coordinate of \(B\) is \((8,-6)\). Applying the reflection rule \((x,y)\to(-x,y)\), for \(B(8,-6)\), we get \(B'(-8,-6)\).

Step3: Find the coordinates of \(C\)

The coordinate of \(C\) is \((10,-1)\). Applying the reflection rule \((x,y)\to(-x,y)\), for \(C(10,-1)\), we get \(C'(-10,-1)\).

Step4: Find the coordinates of \(D\)

The coordinate of \(D\) is \((8,4)\). Applying the reflection rule \((x,y)\to(-x,y)\), for \(D(8,4)\), we get \(D'(-8,4)\).

Step5: Find the coordinates of \(E\)

The coordinate of \(E\) is \((7,-1)\). Applying the reflection rule \((x,y)\to(-x,y)\), for \(E(7,-1)\), we get \(E'(-7,-1)\).

Answer:

\(B'(-8,-6)\), \(C'(-10,-1)\), \(D'(-8,4)\), \(E'(-7,-1)\)