Question

give the coordinates of the new image. 6. rectangle mnop with vertices m(-7, 1), n(-4, 1), o(-4, -4), and p(-7, -4): y = -x

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the line $y = -x$, the transformation rule is $(x,y)\to(-y,-x)$.

Step2: Transform point M

For point $M(-7,1)$, applying the rule: $x=-7,y = 1$, then $M'=(-1,7)$.

Step3: Transform point N

For point $N(-4,1)$, with $x=-4,y = 1$, then $N'=(-1,4)$.

Step4: Transform point O

For point $O(-4,-4)$, with $x=-4,y=-4$, then $O'=(4,4)$.

Step5: Transform point P

For point $P(-7,-4)$, with $x=-7,y=-4$, then $P'=(4,7)$.

Answer:

$M'(-1,7)$
$N'(-1,4)$
$O'(4,4)$
$P'(4,7)$