Question

1. rectangle abcd with vertices a(-8, 6), b(-2, 8), c(-1, 5), and d(-7, 3); reflected in the y - axis. a (__, ) b (, ) c (, ) d (, __)

Explanation:

Step1: Recall reflection rule

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

Step2: Find $A'$

For point $A(-8,6)$, applying the rule $(-x,y)$, we get $A'(8,6)$.

Step3: Find $B'$

For point $B(-2,8)$, applying the rule $(-x,y)$, we get $B'(2,8)$.

Step4: Find $C'$

For point $C(-1,5)$, applying the rule $(-x,y)$, we get $C'(1,5)$.

Step5: Find $D'$

For point $D(-7,3)$, applying the rule $(-x,y)$, we get $D'(7,3)$.

Answer:

$A'(8,6)$
$B'(2,8)$
$C'(1,5)$
$D'(7,3)$