Question

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

Explanation:

Step1: Recall reflection rules

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

Step2: Analyze given points

Given \( M(5,5)\to M'(-5,5) \). Here, \( x \)-coordinate changes sign (\( 5\to -5 \)) and \( y \)-coordinate remains same (\( 5\to 5 \)). This matches the \( y \)-axis reflection rule.

Answer:

y - axis (the option "y - axis")