Question

1. □mabr∼□petu

scale factor:
enlargement / reduction / ≅/ ≈

Explanation:

Step1: Find the ratio of corresponding sides

For similar figures, the scale factor can be found by taking the ratio of corresponding sides. Let's take \( \frac{ET}{NA}=\frac{42}{20}=\frac{21}{10} = 2.1\), \( \frac{EF}{AB}=\frac{48}{45}=\frac{16}{15}\approx1.07\), \( \frac{TU}{MA}=\frac{54}{40}=\frac{27}{20} = 1.35\), \( \frac{FU}{BR}=\frac{24}{35}\approx0.69\). Wait, no, we should check the correct correspondence. Since \( \square MABR\sim\square PETU\), assume \(MA\) corresponds to \(TU\), \(AB\) corresponds to \(EF\), \(BR\) corresponds to \(FU\), \(MN\) corresponds to \(ET\). The correct way is to use \( \frac{TU}{MA}=\frac{54}{40}=\frac{27}{20}\), \( \frac{ET}{MN}=\frac{42}{20}=\frac{21}{10}\), \( \frac{EF}{AB}=\frac{48}{45}=\frac{16}{15}\), \( \frac{FU}{BR}=\frac{24}{35}\). Wait, no, actually, if we assume the correct correspondence: \(MA = 40\), \(TU=54\), \(AB = 45\), \(EF = 48\), \(BR=35\), \(FU = 24\), \(MN=20\), \(ET = 42\). The scale factor \(k=\frac{ET}{MN}=\frac{42}{20}=\frac{21}{10}=2.1\) (using \(MN\) and \(ET\) as corresponding sides)

Step2: Determine if it is enlargement or reduction

Since the scale factor \(k = 2.1>1\), it is an enlargement

Answer:

Scale Factor: \(\frac{21}{10}\) (or \(2.1\)); Enlargement