Question

with vertices p(1, 2), q(2, 5), r(?, 0) in the y - axis. find the new points using rule (-x, y) reflection in the y - axis. p(__) q() r() s(__)

Explanation:

Step1: Apply rule to point P

Given $P(1,2)$, for reflection in y - axis using rule $(-x,y)$, we get $P'(- 1,2)$.

Step2: Apply rule to point Q

Given $Q(2,5)$, for reflection in y - axis using rule $(-x,y)$, we get $Q'(-2,5)$.

Step3: Assume another point R (not given in question text but following the pattern)

Let's assume a general approach. If we had a point $R(x_1,y_1)$, its reflection $R'$ would be $(-x_1,y_1)$.

Step4: Assume another point S (not given in question text but following the pattern)

If we had a point $S(x_2,y_2)$, its reflection $S'$ would be $(-x_2,y_2)$.

Answer:

$P'(-1,2)$
$Q'(-2,5)$
$R'$ (depends on original $R$ coordinates, but following $(-x,y)$ rule)
$S'$ (depends on original $S$ coordinates, but following $(-x,y)$ rule)