Question

in the coordinate plane, the points x(-2, 7), y(-1, -8), and z(10, -6) are reflected over the y - axis to the points x, y, and z, respectively. what are the coordinates of x, y, and z?

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the $y$-axis, the new point is $(-x,y)$.

Step2: Find $X'$

For $X(-2,7)$, applying the rule, $X'$ has coordinates $(2,7)$.

Step3: Find $Y'$

For $Y(-1, - 8)$, applying the rule, $Y'$ has coordinates $(1,-8)$.

Step4: Find $Z'$

For $Z(10,-6)$, applying the rule, $Z'$ has coordinates $(-10,-6)$.

Answer:

$X'(2,7)$
$Y'(1,-8)$
$Z'(-10,-6)$