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 cf? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In scaled - copies, corresponding sides are in the same relative position. Segment $CF$ in the left - hand figure corresponds to segment $OP$ in the right - hand figure as they are both the bottom horizontal sides of the two similar figures.

Step2: Calculate scale factor

Count the grid units for $CF$ and $OP$. Let's assume each grid square has a side - length of 1 unit. Segment $CF$ has a length of 6 units and segment $OP$ has a length of 3 units. The scale factor $k$ from the left - hand figure to the right - hand figure is given by the ratio of the lengths of corresponding sides. So, $k=\frac{\text{length of side in right - hand figure}}{\text{length of side in left - hand figure}}=\frac{3}{6}=\frac{1}{2}$.

Answer:

The side that corresponds to segment $CF$ is $OP$. The scale factor is $\frac{1}{2}$.