Question

the figure on the right is a scaled copy of the figure on the left. which side in the figure on the right corresponds to segment vx? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In scaled - copies, corresponding sides are in the same relative position. Side $VX$ in the left - hand figure corresponds to side $EF$ in the right - hand figure.

Step2: Determine scale factor

Let's assume we can count the grid units for side lengths. Suppose side $VX$ has a length of 6 units and side $EF$ has a length of 2 units. The scale factor $k$ is given by the ratio of the length of a side in the scaled - copy to the length of the corresponding side in the original figure. So, $k=\frac{\text{length of side in scaled - copy}}{\text{length of corresponding side in original}}=\frac{2}{6}=\frac{1}{3}$.

Answer:

The side that corresponds to segment $VX$ is $EF$. The scale factor is $\frac{1}{3}$.