Question

the triangle fgh is a dilation of the triangle fgh. what is the scale factor of the dilation? simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

Explanation:

Step1: Identify coordinates of G and G'

G is at (0, 10), G' is at (0, 4).

Step2: Calculate scale factor

Scale factor = $\frac{\text{Length of } G'}{\text{Length of } G}$ = $\frac{4}{10}$ = $\frac{2}{5}$ (or check F: F is at (10, 10), F' is at (4, 4). Scale factor = $\frac{4}{10}$ = $\frac{2}{5}$; same for H and H').

Answer:

$\frac{2}{5}$