Assume that the shape EFCH is a rectangle, with the following points: E: \( (9,-1) \) F: \( (9,5) \) \( \mathrm{C}:(-6,5) \) H: \( (x, y) \) What coordinate point should H be so that the shape forms a rectangle? \( (6,-1) \) \( (-6,1) \) \( (6,1) \) \( (-6,-1) \)

For a rectangle, opposite sides must be parallel and equal in length. We are given the following three points: • E = (9, –1) • F = (9, 5) • C = (–6, 5) Since a rectangle has adjacent sides that are perpendicular and opposite sides that are parallel, we can analyze the sides: 1. Segment EF: From (9, –1) to (9, 5) is a vertical line (x remains constant at 9). 2. Segment FC: From (9, 5) to (–6, 5) is a horizontal line (y remains constant at 5). Therefore, to complete the rectangle, the fourth vertex H must be positioned such that: • It is directly horizontally in line with E (which has y = –1). • It is directly vertically in line with C (which has x = –6). Hence, H should be at (–6, –1). Thus, the correct answer is (–6, –1).