Question

simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Explanation:

Step1: Identify radii of both circles

The radius of the small circle (orange) is 2 units. The radius of the large circle (green) is 9 units.

Step2: Calculate scale factor (small→large)

Scale factor = $\frac{\text{Radius of image (large circle)}}{\text{Radius of pre-image (small circle)}}$
$\text{Scale factor} = \frac{9}{2}$

Step3: Verify scale factor (large→small)

Scale factor = $\frac{\text{Radius of image (small circle)}}{\text{Radius of pre-image (large circle)}}$
$\text{Scale factor} = \frac{2}{9}$
(Note: Since the question refers to scaling between the two, the factor from small to large is the improper fraction, or large to small is the proper fraction. The context implies scaling the small circle to get the large one.)

Answer:

$\frac{9}{2}$ (if scaling from small to large) or $\frac{2}{9}$ (if scaling from large to small); the simplified improper fraction for the enlargement is $\frac{9}{2}$