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 scaled - copies, corresponding sides are in the same relative position. 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 count the grid squares to find the lengths of corresponding sides. Suppose the length of $EF$ is $l_{EF}$ and the length of $PS$ is $l_{PS}$. If we count the grid squares, say $l_{EF}=6$ units and $l_{PS}=3$ units. The scale factor $k$ from the left figure to the right figure is given by the ratio of the lengths of corresponding sides, $k=\frac{l_{PS}}{l_{EF}}$. So $k = \frac{3}{6}=\frac{1}{2}$.

Answer:

Corresponding side: $PS$
Scale factor: $\frac{1}{2}$