Question

directions: determine the scale factor between the similar fi to the figures.

1. ■abct~■defs

scale factor:
enlargement / reduction / ≅/ ≆

Explanation:

Step1: Determine the ratio of corresponding sides

For similar figures, the scale factor is the ratio of a side length of the first figure to the corresponding side length of the second figure. Let's take side \(AT = 18\) and \(DS=27\). The ratio is \(\frac{AT}{DS}=\frac{18}{27}\).

Step2: Simplify the ratio

Simplify \(\frac{18}{27}\) by dividing both the numerator and the denominator by their greatest - common divisor, which is 9. \(\frac{18\div9}{27\div9}=\frac{2}{3}\). We can check with another pair of sides. For example, \(AB = 10\) and \(DE = 15\), \(\frac{AB}{DE}=\frac{10}{15}=\frac{2}{3}\) (dividing numerator and denominator by 5).

Answer:

The scale factor is \(\frac{2}{3}\) and it is a reduction.