Question

answer attempt 1 out of 2 which side in the figure on the right corresponds to segment li? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

By observing the similar - shaped polygons, we can see that the orientation and shape - matching imply that side $LI$ corresponds to side $XW$.

Step2: Calculate scale factor

Count the grid - units for corresponding sides. Let's assume side $LI$ has a length of 2 units (by counting grid - squares) and side $XW$ has a length of 4 units. The scale factor $k$ from the smaller polygon to the larger polygon is given by the ratio of the lengths of corresponding sides. So, $k=\frac{\text{length of side in larger polygon}}{\text{length of side in smaller polygon}}=\frac{4}{2} = 2$.

Answer:

The side that corresponds to segment $LI$ is $XW$. The scale factor is 2.