Question

12/30. (x,y) -----> (-x, -y) is a reflection over the y = x axis. false true

Explanation:

Step1: Recall reflection rules

Reflection over the origin changes the sign of both x - and y - coordinates. A reflection over the $y = x$ axis swaps the x - and y - coordinates. A reflection over the x - axis changes the sign of the y - coordinate ($(x,y)\to(x, - y)$), and a reflection over the y - axis changes the sign of the x - coordinate ($(x,y)\to(-x,y)$). The transformation $(x,y)\to(-x, - y)$ is a reflection over the origin, not over the $y = x$ axis.

Answer:

False