Question

the vertices of △abc are a(2, - 5), b(-4, - 4), and c(5,5). for the translation below, give the vertices of △abc
the vertices of △abc are a□, b□, and c□. (simplify your answers. type ordered pairs.)

Explanation:

Step1: Recall translation rule

For a translation $T_{(a,b)}(x,y)=(x + a,y + b)$, here $a=-3$ and $b = 6$.

Step2: Translate point A

For $A(2,-5)$, $A'=(2+( - 3),-5 + 6)=(-1,1)$.

Step3: Translate point B

For $B(-4,-4)$, $B'=(-4+( - 3),-4 + 6)=(-7,2)$.

Step4: Translate point C

For $C(5,5)$, $C'=(5+( - 3),5 + 6)=(2,11)$.

Answer:

$A'(-1,1)$, $B'(-7,2)$, $C'(2,11)$