Question

what scale factor takes polygon n to polygon m?
16 in.
n
7 in.
48 in.
m
21 in.
what scale factor takes polygon j to polygon h?
6 yd.
15 yd.
20 yd.

Explanation:

Step1: Find N to M scale factor

Divide M's side by N's side: $\frac{48}{16} = 3$
Verify with the other side: $\frac{21}{7} = 3$

Step2: Find J to H scale factor

Divide H's side by J's side: $\frac{15}{6} = \frac{5}{2}$
Verify with the other side: $\frac{20}{8} = \frac{5}{2}$ (assuming J's missing side is 8 yd, matching the $\frac{2}{5}$ reverse)

Answer:

1. Scale factor from N to M: $3$
2. Scale factor from J to H: $\frac{5}{2}$