Question

quadrilateral rstu is reflected across the y-axis to produce quadrilateral rstu. write the rule for the reflection. (x, y) → (□, □)

Explanation:

Step1: Recall the reflection rule over the y - axis

When a point \((x,y)\) is reflected over the \(y\) - axis, the \(y\) - coordinate remains the same, and the \(x\) - coordinate changes its sign.

Step2: Verify with given points

For example, if we take point \(R(-7,7)\) (assuming from the grid), after reflection over the \(y\) - axis, \(R'\) has coordinates \((7,7)\). Similarly, for point \(S(-3,3)\), after reflection \(S'\) has coordinates \((3,3)\). The general rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\)

Answer:

\((x,y)\to(-x,y)\)