Question

s is the image of the point s after a reflection.
s(-7, 10) → s(-7, -10)
over which axis was point s reflected?
x-axis
y-axis

Explanation:

Step1: Recall reflection rules

For reflection over \(x\)-axis: \((x,y)\to(x, -y)\). For reflection over \(y\)-axis: \((x,y)\to(-x, y)\).

Step2: Analyze given points

Given \(S(-7,10)\to S'(-7, -10)\). Here \(x\)-coordinate \(-7\) remains same, \(y\)-coordinate changes from \(10\) to \(-10\) (i.e., \(y\to -y\)). This matches reflection over \(x\)-axis rule.

Answer:

x - axis