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To find the scale factor from polygon \( J \) to polygon \( L \), we can use the ratio of corresponding side lengths. The sides are labeled for both polygons, so we will choose any corresponding pair of sides.

Let’s take the side lengths of 2.4 (from polygon \( J \)) and 1.92 (from polygon \( L \)).

The scale factor \( k \) is calculated as:

\[
k = \frac{\text{Side length of polygon L}}{\text{Side length of polygon J}} = \frac{1.92}{2.4}
\]

Now, let's compute this.The scale factor that takes polygon \( J \) to polygon \( L \) is \( 0.8 \).

Would you like further details or have any questions?

Here are 5 related questions you might find useful:
1. How do you calculate a scale factor between any two shapes?
2. If the scale factor is greater than 1, what does that indicate?
3. How would you calculate the areas of both polygons if given additional information?
4. Can you use a different set of corresponding sides to verify the scale factor?
5. What would the reverse scale factor (from \( L \) to \( J \)) be?

**Tip:** Always verify the scale factor by comparing multiple pairs of corresponding sides to ensure consistency.

What scale factor takes polygon J to polygon L?

Learn how to find the scale factor between two similar polygons, J and L, using the ratio of corresponding side lengths. In this problem, the scale factor is calculated by comparing side lengths of 2.4 and 1.92, leading to a result of 0.8. Suitable for middle school students.

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