Question

what axis is the triangle being reflected over?

Explanation:

Step1: Recall reflection rules

When reflecting a point \((x,y)\) over the \(y\)-axis, the new point is \((-x,y)\). When reflecting over the \(x\)-axis, the new point is \((x,-y)\).

Step2: Check coordinates

Take a point, say \(C(4, - 1)\) and its image \(C'(-4,-1)\). The \(y\)-coordinate remains the same (\(-1\)), and the \(x\)-coordinate changes sign (\(4\) becomes \(-4\)). This follows the rule of reflection over the \(y\)-axis.

Answer:

y - axis