Question

give the coordinates of the image of triangle abc under a reflection about the y - axis.
a=(16,7)
b=( - 2,3)
c=( - 11, - 3)
show your work here

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to point \(A\)

For \(A=(16,7)\), using the rule \((x,y)\to(-x,y)\), we get \(A'=(-16,7)\).

Step3: Apply the rule to point \(B\)

For \(B = (-2,3)\), using the rule \((x,y)\to(-x,y)\), we get \(B'=(2,3)\).

Step4: Apply the rule to point \(C\)

For \(C=(-11,-3)\), using the rule \((x,y)\to(-x,y)\), we get \(C'=(11,-3)\).

Answer:

\(A'=(-16,7)\), \(B'=(2,3)\), \(C'=(11,-3)\)