Question

1. rhombus klmn with vertices k(-3, 2), l(1, 4), m(-1, 0), and n(-5, -2): (x, y)→(x + 2, y - 5)

directions: write a rule describing each translation below

Explanation:

Step1: Apply the translation rule to point K

For point $K(-3,2)$, using the rule $(x,y)\to(x + 2,y - 5)$. Substitute $x=-3$ and $y = 2$ into the rule. $x+2=-3 + 2=-1$ and $y-5=2-5=-3$.

Step2: Apply the translation rule to point L

For point $L(1,4)$, substitute $x = 1$ and $y=4$ into the rule. $x + 2=1+2=3$ and $y-5=4 - 5=-1$.

Step3: Apply the translation rule to point M

For point $M(-1,0)$, substitute $x=-1$ and $y = 0$ into the rule. $x+2=-1+2=1$ and $y-5=0-5=-5$.

Step4: Apply the translation rule to point N

For point $N(-5,-2)$, substitute $x=-5$ and $y=-2$ into the rule. $x+2=-5+2=-3$ and $y-5=-2-5=-7$.

Answer:

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