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write a rule for the reflection. $(x,y)\\to(\\square,\\square)$

Question

write a rule for the reflection.

$(x,y)\to(\square,\square)$

Explanation:

Step1: Find the coordinates of points

The coordinate of point \(A\) is \((2,0)\), and the coordinate of point \(A'\) is \((- 2,0)\).

Step2: Determine the reflection rule

For a reflection over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\). Here, when \(x = 2\), \(-x=-2\) and \(y = 0\) remains the same.

Answer:

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