https://file.aiquickdraw.com/mathbot/file/1727200052553ouln01p5.jpg

To solve this problem, we need to find the scale factor from quadrilateral **HIJK** to quadrilateral **STUV**.

### Step 1: Compare corresponding sides
Since quadrilaterals **HIJK** and **STUV** are similar, the ratio of corresponding sides gives us the scale factor.

- The height of quadrilateral **HIJK** is 18 (side HI or KJ).
- The height of quadrilateral **STUV** is 6 (side ST or VU).

To find the scale factor, divide the side lengths of **STUV** by the corresponding side lengths of **HIJK**:
\[
\text{Scale Factor} = \frac{\text{Height of STUV}}{\text{Height of HIJK}} = \frac{6}{18} = \frac{1}{3}
\]

### Step 2: Check the other corresponding side
Similarly, let's check the width (another set of corresponding sides):
- The width of **HIJK** (side KJ or HI) is 12.
- The width of **STUV** (side SV or TU) is 4.

The width ratio is:
\[
\frac{4}{12} = \frac{1}{3}
\]
Thus, the scale factor is consistent.

### Final Answer:
The scale factor from **HIJK** to **STUV** is **\(\frac{1}{3}\)**. Hence, the correct option is:

**A) \(\frac{1}{3}\)**.

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Do you want further details on this solution or have any questions?

Here are 5 related questions you might find interesting:
1. What is the definition of similar polygons?
2. How do you determine the scale factor between two similar shapes?
3. Can the scale factor be greater than 1? What does that mean?
4. What happens to the area when a shape is scaled by a factor of \(\frac{1}{3}\)?
5. How does the scale factor affect perimeter?

**Tip**: When comparing two similar figures, always match corresponding sides to determine the scale factor!

Quadrilateral HIJK is similar to quadrilateral STUV. What's the scale factor from HIJK to STUV?

Learn how to find the scale factor between similar quadrilaterals HIJK and STUV. This problem involves comparing corresponding sides to determine the scale factor. Suitable for students in Grades 7-9.

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