Question

give the coordinates of the image after the given transformation. 3. rhombus klmn with vertices k(-3, 2), l(1, 4), m(-1, 0), and n(-5, -2): (x, y) → (x, y - 5)

Explanation:

Step1: Apply transformation to K

For $K(-3,2)$, $x=-3$, $y = 2$, new $y=2 - 5=-3$. So $K'(-3,-3)$.

Step2: Apply transformation to L

For $L(1,4)$, $x = 1$, $y = 4$, new $y=4 - 5=-1$. So $L'(1,-1)$.

Step3: Apply transformation to M

For $M(-1,0)$, $x=-1$, $y = 0$, new $y=0 - 5=-5$. So $M'(-1,-5)$.

Step4: Apply transformation to N

For $N(-5,-2)$, $x=-5$, $y=-2$, new $y=-2 - 5=-7$. So $N'(-5,-7)$.

Answer:

$K'(-3,-3)$
$L'(1,-1)$
$M'(-1,-5)$
$N'(-5,-7)$