Question

the figure on the right is a scaled copy of the figure on the left, though it might have also been rotated. answer attempt 3 out of 5 which side in the figure on the right corresponds to segment $gh$? op what is the scale factor? 2

Explanation:

Step1: Identify corresponding sides

In similar - scaled figures, we can match sides by their relative position and length ratio. By observing the orientation and shape of the two polygons, we can see that side $GH$ in the left - hand figure corresponds to side $MN$ in the right - hand figure.

Step2: Calculate scale factor

To find the scale factor, we can compare the lengths of corresponding sides. Let's assume we measure the length of $GH$ and $MN$ using the grid. If the length of $GH$ is $4$ units (by counting grid squares) and the length of $MN$ is $2$ units, then the scale factor $k$ from the larger figure to the smaller figure is given by the ratio of the lengths of the corresponding sides. The formula for the scale factor $k=\frac{\text{length of side in smaller figure}}{\text{length of side in larger figure}}$. So, $k = \frac{MN}{GH}=\frac{2}{4}=\frac{1}{2}$.

Answer:

The side in the figure on the right that corresponds to segment $GH$ is $MN$. The scale factor is $\frac{1}{2}$.