Question

a triangle has vertices A(-5,-4), B(2,6), and C(4,-3). the center of dilation is the origin and (x,y) (3x,3y). what are the vertices of the dilated image

Answer 1

The original coordinates are:

$\begin{gathered} A\to(-5,-4) \\ B\to(2,6) \\ C\to(4,-3) \end{gathered}$

So if the tilatation is multiply each coordinate by 3 so:

$\begin{gathered} A\to(-5,-4)\to(-15,-12) \\ B\to(2,6)\to(6,18) \\ C\to(4,-3)\to(12,-9) \end{gathered}$