Question

1. \\( \triangle cab \sim \triangle pet \\)

scale factor:
enlargement / reduction / \\( \cong / \
ot \cong \\)

Explanation:

Step1: Find the scale factor

Since \(\triangle CAB\sim\triangle PET\), we can use the ratio of corresponding sides. Let's take the ratio of \(CA\) to \(PE\). \(CA = 30\) and \(PE=5\). The scale factor \(k=\frac{CA}{PE}=\frac{30}{5} = 6\)

Step2: Determine if it is enlargement or reduction

Since the scale factor \(k = 6>1\), when we go from \(\triangle PET\) to \(\triangle CAB\), the size of the triangle increases. So it is an enlargement.

Answer:

Scale Factor: \(6\); Enlargement