Question

figure abcd and its image are shown in the coordinate plane. enter the coordinates of the image after abcd is reflected across the y - axis. abcd abcd a(-4,3) ? b(-2,3) ? c(-2,-1) ? d(-4,-1) ?

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 $A'$

For point $A(-4,3)$, applying the rule: $(-4,3)\to(4,3)$.

Step3: Find $B'$

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

Step4: Find $C'$

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

Step5: Find $D'$

For point $D(-4,-1)$, applying the rule: $(-4,-1)\to(4,-1)$.

Answer:

$A'(4,3)$
$B'(2,3)$
$C'(2,-1)$
$D'(4,-1)$