Question

polygon q is a scaled copy of polygon p.
polygon p
polygon q
factor takes polygon p to polygon q?
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Explanation:

Step1: Identify corresponding sides

Corresponding sides are \(18\) and \(9\), \(8\) and \(4\), \(14\) and \(7\).

Step2: Calculate scale factor

Use the formula \(scale\ factor=\frac{length\ of\ side\ in\ Q}{length\ of\ corresponding\ side\ in\ P}\).
Take \(18\) (side in \(P\)) and \(9\) (corresponding side in \(Q\)): \(scale\ factor=\frac{9}{18}=\frac{1}{2}\).
Check with other sides: \(\frac{4}{8}=\frac{1}{2}\), \(\frac{7}{14}=\frac{1}{2}\).

Answer:

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