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 ef? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In similar - scaled figures, corresponding sides are in proportion. By observing the orientation and shape of the two figures, we can see that side $PS$ in the right - hand figure corresponds to side $EF$ in the left - hand figure.

Step2: Calculate scale factor

Let's assume we can measure the lengths of corresponding sides. Suppose the length of $EF$ is $l_1$ and the length of $PS$ is $l_2$. The scale factor $k$ from the large figure to the small figure is given by $k=\frac{l_2}{l_1}$. If we measure the lengths of $EF$ and $PS$ (for example, using the grid squares), assume $EF = 6$ units and $PS=3$ units. Then $k=\frac{3}{6}=\frac{1}{2}$.

Answer:

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