Three vertices of a square are at the points (2, 1), (5, 1), and (5, 4). What are the coordinates of the fourth vertex?
- (2, -2)
- (2, 4) (correct answer)
- (4, 2)
- (8, 4)
Explanation: The vertices (2, 1) and (5, 1) form a horizontal side of length 3. The vertices (5, 1) and (5, 4) form a vertical side of length 3. To complete the square, the fourth vertex must have the x-coordinate of (2, 1) and the y-coordinate of (5, 4). Therefore, the fourth vertex is at (2, 4).