Question

graph the polygon with the given vertices and its image after a reflection in the line y = -x. a(-2, -3), b(-2, 0), c(0, 1)

Explanation:

Step1: Recall reflection rule

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

Step2: Reflect point A

For point $A(-2,-3)$, applying the rule: $x=-2,y = - 3$, then $(-y,-x)=(3,2)$.

Step3: Reflect point B

For point $B(-2,0)$, applying the rule: $x=-2,y = 0$, then $(-y,-x)=(0,2)$.

Step4: Reflect point C

For point $C(0,1)$, applying the rule: $x = 0,y=1$, then $(-y,-x)=(-1,0)$.

Answer:

The vertices of the image are $A'(3,2),B'(0,2),C'(-1,0)$