Question

the coordinates of the vertices of a quadrilateral are s (6,3), t (6, - 1), v (-4, - 5), and w (-4,6). quadrilateral stvw is reflected across the y - axis to create quadrilateral stvw. what are the coordinates of the vertices of quadrilateral stvw? s = t =

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of $S'$

For point $S(6,3)$, applying the rule: $(6,3)\to(-6,3)$. So $S'=(-6,3)$.

Step3: Find coordinates of $T'$

For point $T(6, - 1)$, applying the rule: $(6,-1)\to(-6,-1)$. So $T'=(-6,-1)$.

Step4: Find coordinates of $V'$

For point $V(-4,-5)$, applying the rule: $(-4,-5)\to(4,-5)$. So $V'=(4,-5)$.

Step5: Find coordinates of $W'$

For point $W(-4,6)$, applying the rule: $(-4,6)\to(4,6)$. So $W'=(4,6)$.

Answer:

$S'=(-6,3)$
$T'=(-6,-1)$
$V'=(4,-5)$
$W'=(4,6)$