Question

polygon q is a scaled copy of polygon p.
what scale factor takes polygon p to polygon q?

Explanation:

Step1: Recall scale factor formula

The scale factor from polygon \( P \) to polygon \( Q \) is the ratio of corresponding side lengths of \( Q \) to \( P \).

Step2: Choose corresponding sides

Take the side of length 8 in \( P \) and 4 in \( Q \) (or other corresponding sides like 18 and 9, 14 and 7).

Step3: Calculate the ratio

Using the sides 8 (P) and 4 (Q): \( \text{Scale factor} = \frac{4}{8} = \frac{1}{2} \).
(We can verify with other sides: \( \frac{9}{18} = \frac{1}{2} \), \( \frac{7}{14} = \frac{1}{2} \), so the scale factor is consistent.)

Answer:

\(\frac{1}{2}\)