Question

1. figure def is a dilation with center (0, 0) of figure def. what is the scale factor? a 3 b 6 c \\(\frac{1}{3}\\) d \\(\frac{1}{6}\\)

Explanation:

Step1: Identify a pair of corresponding points

Take point $D(9,8)$ and its image $D'(3,3)$ (corrected from grid: $D$ is $(9,8)$, $D'$ is $(3,3)$; alternatively use $F(3,5)$ and $F'(1,2)$)

Step2: Calculate scale factor

Scale factor $k = \frac{\text{Coordinate of image}}{\text{Coordinate of original}}$. Using x-coordinates: $k = \frac{3}{9} = \frac{1}{3}$

Answer:

C. $\frac{1}{3}$