When trapezoid KLMN is reflected over the x-axis to form trapezoid WXYZ, the coordinates of each point in trapezoid KLMN will change based on their reflection over the x-axis.
For any point \((x, y)\), when it is reflected over the x-axis, the new coordinates become \((x, -y)\). Therefore, the y-coordinate of each point in trapezoid KLMN will change sign.
The true statement regarding the relationship between trapezoid KLMN and trapezoid WXYZ, after the reflection, would typically be:
- The corresponding vertices of WXYZ are the reflections of the vertices of KLMN over the x-axis.
For example, if point K has coordinates \((x_1, y_1)\), then point W will have coordinates \((x_1, -y_1)\), and this pattern continues for the other vertices (L to X, M to Y, and N to Z).
Feel free to provide any specific options or statements if you have them, and I can help determine which one is true!