Use the image to answer the question.Two trapezoids, upper A upper B upper C upper D and upper A prime upper B prime upper C prime upper D prime, are graphed on a coordinate plane.Which explanation for the congruency of the trapezoids is correct?Statement #1: The trapezoids are congruent because ABCD was reflected over the line y=x.Statement #2: The trapezoids are congruent because ABCD was translated left 4 units and up 2 units. Statement #3: The trapezoids are congruent because ABCD was rotated 270° (counterclockwise).Statement #4: The trapezoids are congruent because ABCD was rotated 90° (counterclockwise).(1 point)Statement # is correct.

To determine which statement is correct regarding the congruency of the trapezoids ABCD and A'B'C'D', we need to analyze how the shapes could have been transformed.

1. **Statement #1**: Reflecting over the line \(y = x\) would change the coordinates of the points, resulting in a new trapezoid. If the shapes are congruent and show an accurate reflection of the original trapezoid, this statement could be true.

2. **Statement #2**: Translating the trapezoid left 4 units and up 2 units does not change the shape or size of the trapezoid; it merely moves it around the coordinate plane. If this translation describes the shift from ABCD to A'B'C'D', this statement would be correct.

3. **Statement #3**: Rotating the trapezoid 270° counterclockwise is equivalent to rotating it 90° clockwise. This transformation also maintains the congruency of the original shape if the resulting trapezoid matches A'B'C'D'.

4. **Statement #4**: Rotating the trapezoid 90° counterclockwise would alter the orientation of the trapezoid, and may or may not result in a congruent figure depending on its position.

The correct statement would depend on the specific transformation applied to the trapezoids shown in the image. Based on typical transformations:

- If only translations are involved, **Statement #2** is likely correct.
- If the image shows a mirror effect or matching points and no translation, **Statement #1** might be applicable.
- If the trapezoid appears rotated, either **Statement #3** or **Statement #4** could be correct depending on the exact rotation needed to align the trapezoids.

In absence of the image or further descriptive context, it is not possible to definitively choose one statement as correct. Please review the transformations in the image to see which matches the relationship between the trapezoids.