Question

1. trapezoid pqrs with vertices p(-7, -5), q(-2, 0), r(-1, -6), and s(-3, -8); reflected in the x - axis.

p (__, __)
q (__, __)
r (__, __)
s (__, __)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ in the $x - axis$, the rule is $(x,y)\to(x, - y)$.

Step2: Apply rule to point P

For $P(-7,-5)$, using the rule $(x,y)\to(x, - y)$, we get $P'(-7,5)$.

Step3: Apply rule to point Q

For $Q(-2,0)$, using the rule $(x,y)\to(x, - y)$, we get $Q'(-2,0)$.

Step4: Apply rule to point R

For $R(-1,-6)$, using the rule $(x,y)\to(x, - y)$, we get $R'(-1,6)$.

Step5: Apply rule to point S

For $S(-3,-8)$, using the rule $(x,y)\to(x, - y)$, we get $S'(-3,8)$.

Answer:

$P'(-7,5)$
$Q'(-2,0)$
$R'(-1,6)$
$S'(-3,8)$