1. **State the problem:** Determine if quadrilateral C B A D is congruent to quadrilateral E F G H by using transformations. 2. **Recall the definition of congruence:** Two figures are congruent if one can be transformed into the other using rigid motions: translations, rotations, and reflections, which preserve size and shape. 3. **Analyze the given information:** The left figure C B A D is in the top-left quadrant, and the right figure E F G H is in the bottom-right quadrant. 4. **Check transformations:** The problem states the left figure can be translated (slid) and rotated to match the right figure. 5. **Conclusion:** Since translation and rotation are rigid motions that preserve distances and angles, the two quadrilaterals are congruent. **Final answer:** Quadrilateral C B A D is congruent to quadrilateral E F G H because the left figure can be translated and rotated to coincide exactly with the right figure, preserving all side lengths and angles.