Question

write a rule for the reflection. (x,y)→(□,□)

Explanation:

Step1: Find coordinates of original and reflected points

Let's assume coordinates of \( B\) is \((-1,-2)\) and \( B'\) is \((1,-2)\). For \( A\), if \( A\) is \((-2,-2)\), \( A'\) is \((2,-2)\).

Step2: Determine the reflection rule

When we reflect a point \((x,y)\) over the \( y -\)axis, the \( y -\)coordinate remains the same and the \( x -\)coordinate changes its sign. So the rule is \((x,y)\to(-x,y)\)

Answer:

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