Question

polygon wxyz has coordinates w(-3, -2), x(-5, -2), y(-1, 2), and z(0, 2). the polygon is reflected across the y - axis. write the coordinates of polygon wxyz.

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point W

For $W(-3,-2)$, applying the rule gives $W'(3,-2)$ since $-(-3) = 3$ and $y$-coordinate remains $-2$.

Step3: Apply rule to point X

For $X(-5,-2)$, we get $X'(5,-2)$ as $-(-5)=5$ and $y = - 2$.

Step4: Apply rule to point Y

For $Y(-1,2)$, we have $Y'(1,2)$ because $-(-1)=1$ and $y = 2$.

Step5: Apply rule to point Z

For $Z(0,2)$, since $-(0)=0$, we get $Z'(0,2)$.

Answer:

$W'(3,-2)$, $X'(5,-2)$, $Y'(1,2)$, $Z'(0,2)$