Question

determine the line of reflection that maps the pre - image segment ab to the image segment ab.

Explanation:

Step1: Recall the rule of reflection over the y - axis ($x = 0$)

The rule for reflecting a point $(x,y)$ over the line $x = 0$ (y - axis) is $(x,y)\to(-x,y)$.

Step2: Check the coordinates of points A and B and their images

Let's assume the coordinates of point \(A\) (red) be \((a,b)\) and of point \(B\) (red) be \((c,d)\). The coordinates of point \(A'\) (blue) will be \((-a,b)\) and of point \(B'\) (blue) will be \((-c,d)\) according to the reflection rule over \(x = 0\).

Answer:

\(x = 0\)