The coordinates of three vertices of a square are \( (4,14),(10,14) \), and \( (4,8) \). What are the coordinates of the missing vertex? A. \( (8,4) \)

To find the coordinates of the missing vertex of the square, we can first observe the given points. The points \( (4, 14) \) and \( (10, 14) \) share the same y-coordinate, indicating they're on the same horizontal line. The point \( (4, 8) \) shares the same x-coordinate with \( (4, 14) \), indicating they are vertically aligned. The missing vertex must also align with the other vertices to maintain the square's properties. The coordinates can be deduced as follows: 1. From \( (4, 14) \) moving vertically down to \( (4, 8) \) gives a difference of 6 units. 2. Hence, the missing vertex should be \( (10, 8) \), which completes the square. As such, the coordinates of the missing vertex are \( (10, 8) \). The option A. \( (8, 4) \) does not fit the properties of this square, as it does not share the necessary distances and alignment with the other three vertices.