Question

e is the image of the point e after a reflection. e(5,8)→e(5, - 8) over which axis was point e reflected? x - axis y - axis

Explanation:

Step1: Recall the reflection rules

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

Step2: Analyze the given points

For the point \(E(5,8)\) and its image \(E'(5, - 8)\), the \(x -\)coordinate remains the same (\(x = 5\) for both points), and the \(y -\)coordinate changes its sign (\(y=8\) becomes \(y =-8\)).

Answer:

x - axis