Question

Given Δ ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale factor of 3, what are the coordinates of C'? Show all work.

Answer 1

Recall that a dilation by a c factor about the origin has the following transformation rule:

`(x,y)\rightarrow(cx,cy).`

Therefore, if c=3, and (x,y)= (0,0) then:

`(0,0)\rightarrow(3(0),3(0))=(0,0).`

Answer:

`\begin{equation*} (0,0). \end{equation*}`