Question

the figure on the right is a scaled copy of the figure on the left.
answer attempt 2 out of 3
which side in the figure on the right corresponds to segment $st$
what is the scale factor?

Explanation:

Step1: Identify corresponding side

By matching the shape's vertices in order, segment $ST$ (connecting the bottom-right and top-right vertices of the left figure) corresponds to segment $BC$ (connecting the bottom-right and top-right vertices of the right figure).

Step2: Calculate side lengths

Count grid units: $ST$ spans 4 vertical units, $BC$ spans 2 vertical units.

Step3: Find scale factor

Scale factor = $\frac{\text{Length of scaled side}}{\text{Length of original side}}$ = $\frac{2}{4}$ = $\frac{1}{2}$

Answer:

1. Corresponding side to $ST$: $BC$
2. Scale factor: $\frac{1}{2}$