1. **Stating the problem:** We need to find a sequence of rigid transformations and dilations that takes square EFGH to square ABCD. 2. **Understanding the problem:** Rigid transformations include translations, rotations, and reflections that preserve shape and size. Dilations change the size but preserve shape. 3. **Given:** - Square ABCD with side length 5. - Square EFGH (not explicitly given side length, but assumed congruent or similar). 4. **Step-by-step solution:** 1. **Translation:** Move square EFGH so that one vertex, say E, coincides with vertex A of square ABCD. 2. **Rotation:** Rotate the translated square around point A so that side EF aligns with side AB. 3. **Dilation:** If the side length of EFGH is not 5, apply a dilation centered at A with scale factor $$k = \frac{5}{\text{side length of EFGH}}$$ to resize EFGH to match ABCD. 4. **Reflection (if needed):** If after dilation and rotation the square is not oriented the same way, reflect it across the appropriate axis through A. 5. **Summary:** The sequence is: translate EFGH to A, rotate to align sides, dilate to scale side length to 5, and reflect if necessary. This sequence transforms square EFGH exactly onto square ABCD. **Note:** Without explicit coordinates or side length of EFGH, the exact numeric dilation factor cannot be computed here.