1. **Problem Statement:** Find the correct ordered pair location of the fourth vertex of the rhombus given vertices and hints. 2. **Given Information:** The rhombus has vertices with coordinates including (1,-2) as the bottom-right vertex. 3. **Properties of a Rhombus:** All sides are congruent, opposite sides are parallel, and opposite angles are equal. 4. **Step to find the fourth vertex:** Use the property that the diagonals of a rhombus bisect each other. 5. **Calculate midpoint of diagonal:** If vertices A, B, and C are known, the midpoint of diagonal AC equals midpoint of diagonal BD. 6. **Using coordinates:** Let the known vertices be A, B, and C, and find D such that the midpoint condition holds. 7. **Final answer:** The fourth vertex is at the ordered pair **$(1,-2)$** as given in the problem hint. --- **Two-column proof reasons:** - Statement 2: $DB \cong DB$ is justified by the **Reflexive Property**. - Statement 5: $AB \parallel DC$ and $AD \parallel BC$ is justified by the **Definition of a Parallelogram**. --- **Summary:** - Fourth vertex of the rhombus is at $(1,-2)$. - Reason for statement 2 is Reflexive Property. - Reason for statement 5 is Definition of Parallelogram.