1. **Problem Statement:** We have parallelogram ABCD reflected across the x-axis and then rotated 180° clockwise about the origin to form parallelogram EFGH. 2. **Transformations:** - Reflection across the x-axis changes a point $(x,y)$ to $(x,-y)$. - Rotation 180° clockwise about the origin changes a point $(x,y)$ to $(-x,-y)$. 3. **Effect on vertices:** If $A(x_A,y_A)$, then after reflection: $A'(x_A,-y_A)$. After rotation: $E(-x_A,y_A)$ (since rotation is applied after reflection, the final point is $(-x_A,y_A)$). Similarly for other vertices. 4. **Properties of parallelograms:** Opposite sides are parallel. Transformations preserve parallelism. 5. **Check each statement:** - Side EF parallel to GH: True (opposite sides in parallelogram). - Side EH parallel to GH: False (adjacent sides are not parallel). - Side GF parallel to FE: True (opposite sides are parallel). - Side EH parallel to FG: True (opposite sides are parallel). **Final answers:** - Side EF is parallel to side GH: True - Side EH is parallel to side GH: False - Side GF is parallel to side FE: True - Side EH is parallel to side FG: True