Question

what is the scale factor? k = 3 k = 1/4 k = 2 k = 1/2 k = 4 k = 1/3

Explanation:

Step1: Select corresponding points

Let's take point $G(9,9)$ and its image $G'(4.5,4.5)$.

Step2: Calculate scale - factor formula

The scale - factor $k$ for a dilation is given by $k=\frac{x_{image}}{x_{original}}=\frac{y_{image}}{y_{original}}$. For point $G$ and $G'$, $k = \frac{4.5}{9}=\frac{1}{2}$.

Answer:

$k = \frac{1}{2}$