https://file.aiquickdraw.com/mathbot/file/1726861162639sskqp2e3.jpg

The problem asks two questions:

1. **Which side in the figure on the right corresponds to segment CE in the figure on the left?**
2. **What is the scale factor?**

Let's start by examining the shapes. Since the figure on the right is a scaled copy of the figure on the left, we need to identify which sides correspond based on their relative positions.

- In the figure on the left, **segment CE** is the top horizontal side.
- In the figure on the right, the corresponding side is **segment TS**, since it is also the top horizontal side.

Now, to determine the **scale factor**, we need to compare the lengths of corresponding sides between the two figures. The scale factor is given by:

\[
\text{Scale factor} = \frac{\text{Length of corresponding side in scaled figure}}{\text{Length of side in original figure}}
\]

You can measure the length of segment CE and compare it with TS to find the scale factor. If you want, I can calculate this for you if you provide the lengths of the sides.

Would you like me to give further details or help with any specific part of this?

### Follow-up questions:
1. What is the length of segment CE in the original figure?
2. What is the length of segment TS in the scaled figure?
3. How does the positioning of other sides help identify corresponding segments?
4. How do you interpret the meaning of a scale factor less than 1 versus greater than 1?
5. What is the relationship between the areas of the two figures, given the scale factor?

**Tip**: A scale factor greater than 1 indicates an enlargement, while a scale factor less than 1 indicates a reduction in size.

Which side in the figure on the right corresponds to segment CE? What is the scale factor?

Learn how to identify corresponding sides and calculate the scale factor in scaled figures. This geometry problem covers key concepts like proportions, scaling, and similarity. Suitable for students in Grades 7-10.

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