Question

the figure on the right is a scaled copy of the figure on the left. answer attempt 1 out of 2 which side in the figure on the right corresponds to segment nl? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In scaled - copies, corresponding sides are in the same relative position. Side $NL$ in the left - hand figure corresponds to side $VY$ in the right - hand figure as they are in the same relative position in the two similar polygons.

Step2: Calculate scale factor

Count the lengths of corresponding sides. Let's assume each grid square has a side - length of 1 unit. Side $NL$ has a length of 2 units and side $VY$ has a length of 6 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 copy. So, $k=\frac{\text{length of side in scaled copy}}{\text{length of corresponding side in original copy}}=\frac{6}{2} = 3$.

Answer:

The side that corresponds to segment $NL$ is $VY$.
The scale factor is 3.