Question

tuvw ~ gdef.
find the ratio of a side length in tuvw to its corresponding side length in gdef.
simplify your answer and write it as a proper fraction, improper fraction, or whole number.

Explanation:

Step1: Identify corresponding sides

Since \( TUVW \sim GDEF \), we need to find corresponding sides. Let's take \( TU = 30 \) and \( GD = 10 \) (or \( UV = 12 \) and \( DE = 4 \)).

Step2: Calculate the ratio

Take the ratio of a side from \( TUVW \) to the corresponding side from \( GDEF \). Let's use \( UV = 12 \) and \( DE = 4 \). The ratio is \( \frac{12}{4} = 3 \), or using \( TU = 30 \) and \( GD = 10 \), the ratio is \( \frac{30}{10} = 3 \).

Answer:

\( 3 \) (or as a fraction \( \frac{3}{1} \), but since it's a whole number, \( 3 \) is appropriate)