Question

enlargement/reduction/≅/≇

1. ■qrsp ~ ■qrsp

scale factor:_____
enlargement/reduction/≅/≇

Explanation:

Step1: Calculate the scale factor

For similar figures, the scale factor is the ratio of corresponding side lengths. Let's take \(QP = 10\) and \(Q'P'=5\). The scale factor \(k=\frac{QP}{Q'P'}=\frac{10}{5} = 2\). We can check other sides: \(\frac{QR}{Q'R'}=\frac{16}{8}=2\), \(\frac{PS}{P'S'}=\frac{6}{3}=2\), \(\frac{RS}{R'S'}=\frac{18}{9}=2\).

Step2: Determine the type of transformation

Since the scale factor \(k = 2>1\), the transformation from \(Q'R'S'P'\) to \(QRSP\) is an enlargement.

Answer:

Scale Factor: \(2\); Enlargement