Question

riangle STV was dilated with the origin as the center of dilation to form S'T'V'. What is the scale factor of the dilation?

Answer 1

The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)
The scale factor k is therefore obtained by dividing the corresponding coordinates of the image by those of the preimage, namely
scale factor = k = $\frac{OS'}{OS}=\frac{OT'}{OT}=\frac{PV'}{OV}$
where O is the origin (0,0)