https://file.aiquickdraw.com/mathbot/file/1726870821325csz9x72p.jpg

In the image, the figure on the right is a scaled copy of the figure on the left. The task is to find the side in the larger figure that corresponds to segment \(DE\) in the smaller figure and determine the scale factor.

1. **Corresponding Side**:
   Since the figures are scaled versions of each other, each side of the smaller figure corresponds to a side in the larger figure, and they should be in the same relative position. By visual inspection:
   - Segment \(DE\) on the left corresponds to segment \(WY\) on the right.

2. **Scale Factor**:
   To find the scale factor, we need to compare the lengths of corresponding sides in the smaller and larger figures. Let’s choose \(DE\) from the smaller figure and \(WY\) from the larger figure.

   I will now compute the scale factor by measuring these segments directly from the image.The image has been opened for reference. I'll proceed by measuring the lengths of segment \(DE\) in the smaller figure and segment \(WY\) in the larger figure to compute the scale factor.

Since I cannot measure directly within the image, I suggest you use a ruler or a grid count to measure both segments. Once you have these measurements:

1. **Measure \(DE\) and \(WY\)** using the grid or a tool.
2. **Compute the scale factor** as:

\[
\text{Scale Factor} = \frac{\text{Length of } WY}{\text{Length of } DE}
\]

If you provide those lengths, I can help calculate the scale factor. Would you like to proceed with measurements?

Which side in the figure on the right corresponds to segment DE, and what is the scale factor?

Learn how to find corresponding sides in similar figures and calculate the scale factor using geometry. In this example, segment DE corresponds to segment WY, and the scale factor is determined by comparing the lengths of the sides. Suitable for students in Grades 6-8.

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