Question

1. 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: Find new coordinates of $W$

For $W(-3,-2)$, applying the rule: $(-3,-2)\to(3,-2)$.

Step3: Find new coordinates of $X$

For $X(-5,-2)$, applying the rule: $(-5,-2)\to(5,-2)$.

Step4: Find new coordinates of $Y$

For $Y(-1,2)$, applying the rule: $(-1,2)\to(1,2)$.

Step5: Find new coordinates of $Z$

For $Z(0,2)$, applying the rule: $(0,2)\to(0,2)$.

Answer:

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