Question

1. $r_{y=-x}$ means a reflection across the x - axis a reflection across the y - axis a reflection across y = - x a reflection across y = x

Explanation:

In geometry, the notation \(r_{y = -x}\) is a standard way to denote a reflection transformation. The subscript \(y=-x\) indicates the line of reflection. A reflection across the \(x -\)axis is denoted as \(r_{x - axis}\), across the \(y -\)axis as \(r_{y - axis}\), across \(y = x\) as \(r_{y=x}\). By the definition of transformation notation, \(r_{y=-x}\) means reflection across the line \(y = -x\).

Answer:

C. A reflection across \(y=-x\)