Question

the figure on the right is a scaled copy of the figure on the left. answer attempt 1 out of 10 which side in the figure on the right corresponds to segment kl? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In similar (scaled - copy) figures, sides that have the same relative position are corresponding. Segment $KL$ in the larger figure and segment $WX$ in the smaller figure are in the same relative position (vertical side on the left - hand side of the figure), so $WX$ corresponds to $KL$.

Step2: Calculate the scale factor

Count the length of $KL$ and $WX$. Let's assume each grid square has a side - length of 1 unit. $KL$ has a length of 6 units and $WX$ has a length of 2 units. The scale factor $k$ from the larger figure to the smaller figure is given by the ratio of the lengths of corresponding sides. So, $k=\frac{\text{length of side in smaller figure}}{\text{length of side in larger figure}}=\frac{2}{6}=\frac{1}{3}$.

Answer:

1. The side that corresponds to segment $KL$ is $WX$.
2. Scale - factor: $\frac{1}{3}$