Question

the vertices of a triangle are p(-3, 8), q(-4, -4), and r(1, 1). graph and name the vertices of the image reflected over y = -x. los vértices de un triángulo son p(-3, 8), q(-4, -4), y r(1, 1). grafica y nombra los vértices de la imagen reflejados sobre y = -x.

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 P

For point $P(-3,8)$, applying the rule: $x=-3,y = 8$, so $P'=(-8,3)$.

Step3: Reflect point Q

For point $Q(-4,-4)$, applying the rule: $x=-4,y=-4$, so $Q'=(4,4)$.

Step4: Reflect point R

For point $R(1,1)$, applying the rule: $x = 1,y=1$, so $R'=(-1,-1)$.

Answer:

$P'(-8,3)$
$Q'(4,4)$
$R'(-1,-1)$