Question

in exercises 9 and 10, ( rstusim abcd ). find the ratio of their perimeters.
9.
10.

Explanation:

Step1: Recall the property of similar figures

For similar figures, the ratio of their perimeters is equal to the ratio of their corresponding side lengths.

Step2: Find the ratio for Exercise 9

In Exercise 9, the corresponding side lengths are \(12\) (from \(RSTU\)) and \(8\) (from \(ABCD\)). The ratio of the perimeters is \(\frac{12}{8}=\frac{3}{2}\).

Step3: Find the ratio for Exercise 10

In Exercise 10, the corresponding side lengths are \(18\) (from \(RSTU\)) and \(24\) (from \(ABCD\)). The ratio of the perimeters is \(\frac{18}{24}=\frac{3}{4}\).

Answer:

Exercise 9: \(\frac{3}{2}\)
Exercise 10: \(\frac{3}{4}\)