Question

polygon d is a scaled copy of polygon c.
images of polygon c (with side lengths 2, 2, 1.6) and polygon d (with side lengths 1.5, 1.5, 1.2)
what scale factor takes polygon c to polygon d?

Explanation:

Step1: Recall scale factor formula

The scale factor from polygon \( C \) to polygon \( D \) is the ratio of a side length of \( D \) to the corresponding side length of \( C \).

Step2: Choose corresponding sides

Take the side of length \( 2 \) in \( C \) and the corresponding side of length \( 1.5 \) in \( D \), or the side of length \( 1.6 \) in \( C \) and \( 1.2 \) in \( D \). Let's use the first pair: \( \text{Scale Factor} = \frac{\text{Length in } D}{\text{Length in } C} = \frac{1.5}{2} \) or using the second pair \( \frac{1.2}{1.6} \).

Step3: Calculate the ratio

Calculating \( \frac{1.5}{2} = 0.75 \) or \( \frac{1.2}{1.6} = \frac{12}{16} = \frac{3}{4} = 0.75 \).

Answer:

\( 0.75 \) (or \( \frac{3}{4} \))