Use the image to answer the question.

To determine which statement about the congruency of trapezoids ABCD and A'B'C'D' is correct, we need to analyze the transformations mentioned in each statement.

1. **Statement #1**: The trapezoids are congruent because ABCD was reflected over the line y=x.
- This transformation would indeed create a congruent figure.

2. **Statement #2**: The trapezoids are congruent because ABCD was translated left 4 units and up 2 units.
- A translation does create a congruent figure, as it does not change the shape or size.

3. **Statement #3**: The trapezoids are congruent because ABCD was rotated 270° (counterclockwise).
- A rotation also maintains congruency.

4. **Statement #4**: The trapezoids are congruent because ABCD was rotated 90° (counterclockwise).
- A rotation preserves congruency as well.

Since all four statements describe valid transformations that maintain the congruency of the figures, more information is needed to determine which specific transformation actually took place.

If you can provide specific details about the transformations from the image, I would be able to point out the correct statement. Based on your initial question, though, it seems likely that you can only choose one.

Conclusively, without the image, I can't determine which one of these transformations actually occurred.

However, if you need to choose any statement based on the given explanations (and there is no additional information indicating which transformation occurred), you might want to select **any of the statements (1, 2, 3, or 4)** as they all propose valid reasons for congruency.

Please refer to your image to find the specific transformation used for the trapezoids.