When a trapezoid or any shape is reflected over the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that for a trapezoid KLMN reflected to form trapezoid WXYZ, the points will be transformed as follows:
- If point K has coordinates (x1, y1), then point W will have coordinates (x1, -y1).
- If point L has coordinates (x2, y2), then point X will have coordinates (x2, -y2).
- If point M has coordinates (x3, y3), then point Y will have coordinates (x3, -y3).
- If point N has coordinates (x4, y4), then point Z will have coordinates (x4, -y4).
Thus, the true statement about the trapezoids KLMN and WXYZ is that the x-coordinates of the points are the same, while the y-coordinates of WXYZ are the negatives of the corresponding y-coordinates of KLMN.
In conclusion, the transformation results in:
- W (x1, -y1)
- X (x2, -y2)
- Y (x3, -y3)
- Z (x4, -y4)
Any statement that correctly describes this relationship after reflecting trapezoid KLMN over the x-axis will be true.