Question

1. reflection across the line y = -x

r(-1, 0), l(-1, 1), x(3, -1), d(1, -3)
r ( )l( ) x( )d ( )

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 R

For $R(-1,0)$, using the rule $(-1,0)\to(0,1)$.

Step3: Reflect point L

For $L(-1,1)$, using the rule $(-1,1)\to(-1,1)$.

Step4: Reflect point X

For $X(3,-1)$, using the rule $(3,-1)\to(1,-3)$.

Step5: Reflect point D

For $D(1,-3)$, using the rule $(1,-3)\to(3,-1)$.

Answer:

$R'(0,1),L'(-1,1),X'(1,-3),D'(3,-1)$