Question

the coordinates of the vertices of △jkl are j(1,1),k(4,3), and l(3,1). the triangle is translated 1 unit right and 5 units down. what are the coordinates of the vertices of △jkl, the translated triangle? a j(2, - 4),k(-1,4), and l(-4,2) b j(1,-5),k(5,-2), and l(4,-4) c j(2,-4),k(5,-2), and l(4,-4)

Explanation:

Step1: Recall translation rule

For a translation 1 unit right and 5 units down, the rule is $(x,y)\to(x + 1,y-5)$.

Step2: Translate point J

Given $J(1,1)$, applying the rule: $x=1,y = 1$, then $x+1=1 + 1=2$ and $y - 5=1-5=-4$, so $J'(2,-4)$.

Step3: Translate point K

Given $K(4,3)$, applying the rule: $x = 4,y=3$, then $x + 1=4+1=5$ and $y-5=3 - 5=-2$, so $K'(5,-2)$.

Step4: Translate point L

Given $L(3,1)$, applying the rule: $x=3,y = 1$, then $x+1=3 + 1=4$ and $y-5=1-5=-4$, so $L'(4,-4)$.

Answer:

C. $J'(2,-4),K'(5,-2),L'(4,-4)$