Question

the figure on the right is a scaled copy of the figure on the left. answer attempt 2 out of 2 which side in the figure on the right corresponds to segment ge? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In similar - scaled figures, corresponding sides are in proportion. By observing the shape and orientation of the two figures, the side in the right - hand figure that corresponds to segment $GE$ is $NL$ because of the similar shape and relative position of the vertices.

Step2: Calculate scale factor

Count the grid - unit lengths of corresponding sides. Let's assume side $HF$ has a length of 6 units and side $MK$ 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. If we take the ratio of the length of a side in the smaller figure to the length of the corresponding side in the larger figure, $k=\frac{\text{length of side in smaller figure}}{\text{length of corresponding side in larger figure}}$. Let's use $MK$ and $HF$. So $k = \frac{2}{6}=\frac{1}{3}$.

Answer:

Which side corresponds to segment $GE$: $NL$
What is the scale factor: $\frac{1}{3}$