Question

the vertices of △abc are a(1, - 4), b(-1, - 4), and c(3,3). for the translation below, give the vertices of △abc t(-1,-2)(△abc) the vertices of △abc are a□, b□, and c□. (simplify your answers. type ordered pairs.)

Explanation:

Step1: Recall translation rule

A translation $T_{(a,b)}(x,y)=(x + a,y + b)$. Here $a=-1$ and $b = - 2$.

Step2: Translate point A

For $A(1,-4)$, $A'=(1+( - 1),-4+( - 2))=(0,-6)$.

Step3: Translate point B

For $B(-1,-4)$, $B'=(-1+( - 1),-4+( - 2))=(-2,-6)$.

Step4: Translate point C

For $C(3,3)$, $C'=(3+( - 1),3+( - 2))=(2,1)$.

Answer:

$A'(0,-6),B'(-2,-6),C'(2,1)$