Question

1. plot e(-4,-3), f(-4,-1), g(0,-2). reflect across the line y = -x. give the coordinates of e’f’g’. 3. e’( )f’( )g’( )

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 E

For point $E(-4,-3)$, using the rule, we have $x=-4$ and $y = - 3$. Then $E'$ has coordinates $(-(-3),-(-4))=(3,4)$.

Step3: Reflect point F

For point $F(-4,-1)$, with $x=-4$ and $y=-1$, $F'$ has coordinates $(-(-1),-(-4))=(1,4)$.

Step4: Reflect point G

For point $G(0,-2)$, with $x = 0$ and $y=-2$, $G'$ has coordinates $(-(-2),-0)=(2,0)$.

Answer:

$E'(3,4),F'(1,4),G'(2,0)$