Question

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

Explanation:

Step1: Identify corresponding sides

Take the vertical side of polygon \(N\) which is \(8\) and the corresponding vertical side of polygon \(P\) which is \(20\).

Step2: Calculate scale factor

The scale factor \(k\) is given by the ratio of the side length of the image (polygon \(P\)) to the side length of the pre - image (polygon \(N\)). So \(k=\frac{20}{8}\).
Simplify \(\frac{20}{8}=\frac{20\div4}{8\div4}=\frac{5}{2} = 2.5\).

Answer:

The scale factor is \(2.5\)