Question

1. reflection across y = -x

r(0,3)
w(-3,-1)
v(1,-2)
v(-3,0)
w(1,3)
u(2,-1)
(x,y)→(-y,-x) y = -x

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the line $y = -x$ is $(x,y)\to(-y,-x)$.

Step2: Reflect point $V(0,3)$

Substitute $x = 0$ and $y = 3$ into the rule: $(-3,-0)=(-3,0)$.

Step3: Reflect point $W(-3,-1)$

Substitute $x=-3$ and $y = - 1$ into the rule: $-(-1),-(-3)=(1,3)$.

Step4: Reflect point $U(1,-2)$

Substitute $x = 1$ and $y=-2$ into the rule: $-(-2),-1=(2,-1)$.

Answer:

$V'(-3,0)$, $W'(1,3)$, $U'(2,-1)$