Question

les< 10/20 >second slide — 2/2/26warm-upwhat is the scale factor, k?$\frac{image}{pre-image}LXB0\frac{new}{old}$simplified answerk = ____$\frac{image}{pre-image}$ = ____

Explanation:

Step1: Find pre-image side length

The green pre-image has a vertical side length of $8-2=6$ units (or horizontal side length $6-3=3$ units).

Step2: Find image side length

The blue image has a vertical side length of $4-1=3$ units (or horizontal side length $2-1=1$ unit).

Step3: Calculate scale factor k

Use $\frac{\text{Image}}{\text{Pre-image}}$. Using vertical lengths: $\frac{3}{6}=\frac{1}{2}$

Answer:

$k = \frac{1}{2}$
$\frac{\text{Image}}{\text{Pre-Image}} = \frac{1}{2}$