Question

1. scale factor = ____

two regular hexagons: left hexagon with side length 6 in, right hexagon (labeled \original\ when mirrored) with side length 30 in

Explanation:

Step1: Identify corresponding sides

The original hexagon has a side length of 30 in, and the scaled hexagon has a side length of 6 in. The scale factor is the ratio of the scaled length to the original length.

Step2: Calculate scale factor

Scale factor = $\frac{\text{Scaled length}}{\text{Original length}}$ = $\frac{6}{30}$
Simplify the fraction: $\frac{6}{30}$ = $\frac{1}{5}$ (or 0.2)

Answer:

$\frac{1}{5}$ (or 0.2)