Question

question. the rectangle on the right is a scaled copy of the rectangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original figure to the scaled - copy is found by dividing the corresponding side length of the scaled - copy by the corresponding side length of the original figure.

Step2: Choose a pair of corresponding sides

Let's use the longer sides. The length of the longer side of the original rectangle is 16, and the length of the longer side of the scaled - copy is 8.

Step3: Calculate the scale factor

The scale factor $k=\frac{8}{16}=\frac{1}{2}$. We can also check with the shorter sides. The shorter side of the original rectangle is 8 and the shorter side of the scaled - copy is 4, and $\frac{4}{8}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$