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The problem is asking to find the ratio of a side length in rectangle \( VWXY \) to its corresponding side length in rectangle \( KHIJ \). Since \( VWXY \sim KHIJ \) (they are similar rectangles), we can use the lengths given to determine this ratio.

### Given Information
- In rectangle \( VWXY \):
  - Side \( VW \) = 1
  - Side \( WY \) = 2
- In rectangle \( KHIJ \):
  - Side \( KH \) = 2
  - Side \( HJ \) = 4

### Solution
1. We need to find the ratio of a side length in \( VWXY \) to the corresponding side length in \( KHIJ \). 
2. Let’s take the shorter side in both rectangles to form the ratio.
   - The shorter side in \( VWXY \) is \( VW = 1 \).
   - The corresponding shorter side in \( KHIJ \) is \( KH = 2 \).
3. So, the ratio of \( VW \) to \( KH \) is:
   \[
   \frac{1}{2}
   \]

### Answer
The ratio is \( \frac{1}{2} \), and this is already in its simplest form.

Would you like further details or have any questions about this?

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Here are five related questions to deepen understanding:
1. What would be the ratio of the longer sides \( WY \) in \( VWXY \) and \( HJ \) in \( KHIJ \)?
2. How would the answer change if \( VW \) were 3 instead of 1?
3. Why does knowing that \( VWXY \sim KHIJ \) help in solving this problem?
4. How would you determine if two other shapes were similar?
5. If the area of \( VWXY \) is 2 square units, what would be the area of \( KHIJ \)?

**Tip:** When working with similar shapes, remember that corresponding sides are proportional, and this property helps solve for unknown lengths or verify similarity.

Find the ratio of a side length in VWXY to its corresponding side length in KHIJ.

Learn how to find the ratio of side lengths between similar rectangles VWXY and KHIJ. This problem demonstrates using proportions and similarity to determine ratios of corresponding sides, with a solution for Grades 5-7.

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