Question

different points in a coordinate plane are reflected across the y - axis. drag a point into each box to match with the coordinates of its reflected image. not all points will be used. (2, 2) (-2, -2) (2, 0) (0, 2) (2, -2) (-2, 2) (0, 2) (-2, 0) (-2, -2)

Explanation:

Step1: Recall reflection rule

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

Step2: Reflect $(2,2)$

For the point $(2,2)$, applying the rule $(-x,y)$, we get $(- 2,2)$.

Step3: Reflect $(-2,-2)$

For the point $(-2,-2)$, applying the rule $(-x,y)$, we get $(2,-2)$.

Step4: Reflect $(2,0)$

For the point $(2,0)$, applying the rule $(-x,y)$, we get $(-2,0)$.

Step5: Reflect $(0,2)$

For the point $(0,2)$, since $x = 0$, when reflected across the $y -$axis, it remains $(0,2)$.

Answer:

$(2,2)$ matches with $(-2,2)$
$(-2,-2)$ matches with $(2,-2)$
$(2,0)$ matches with $(-2,0)$
$(0,2)$ matches with $(0,2)$