Question

now, reflect the vertices, q, r, s, and t, of quadrilateral qrst over the y - axis. the image of this reflection will have vertices q, r, s, and t.
vertices of quadrilateral qrst points after reflection over y - axis
q (1, - 1) q
r (1, - 5) r
s (3, - 7) s
t (3, - 1) t

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $y - axis$ is $(-x,y)$.

Step2: Reflect point $Q'$

For $Q'=(1, - 1)$, applying the rule $(-x,y)$, we get $Q''=(-1,-1)$.

Step3: Reflect point $R'$

For $R'=(1, - 5)$, applying the rule $(-x,y)$, we get $R''=(-1,-5)$.

Step4: Reflect point $S'$

For $S'=(3, - 7)$, applying the rule $(-x,y)$, we get $S''=(-3,-7)$.

Step5: Reflect point $T'$

For $T'=(3, - 1)$, applying the rule $(-x,y)$, we get $T''=(-3,-1)$.

Answer:

Vertices of Quadrilateral $Q'R'S'T'$	Points after reflection over $y - axis$
$R'$ $(1,-5)$	$R''$ $(-1,-5)$
$S'$ $(3,-7)$	$S''$ $(-3,-7)$
$T'$ $(3,-1)$	$T''$ $(-3,-1)$