Question

write the coordinates of the vertices after a reflection over the line x = 4.

Explanation:

Step1: Recall reflection formula

For a point $(x,y)$ reflected over the line $x = a$, the new $x -$coordinate is $2a - x$ and the $y -$coordinate remains the same. Here $a = 4$.

Step2: Find coordinates of $J$

Assume $J=(6,- 9)$. Using the formula $x'=2\times4 - 6=8 - 6 = 2$, $y'=-9$. So $J'=(2,-9)$.

Step3: Find coordinates of $K$

Assume $K=(8,-9)$. Using the formula $x'=2\times4 - 8=8 - 8 = 0$, $y'=-9$. So $K'=(0,-9)$.

Step4: Find coordinates of $L$

Assume $L=(8,-7)$. Using the formula $x'=2\times4 - 8=0$, $y'=-7$. So $L'=(0,-7)$.

Step5: Find coordinates of $M$

Assume $M=(6,-7)$. Using the formula $x'=2\times4 - 6=2$, $y'=-7$. So $M'=(2,-7)$.

Answer:

$J'(2,-9)$
$K'(0,-9)$
$L'(0,-7)$
$M'(2,-7)$