Question

The midpoint M of UV has coordinates (4, 6). Point V has coordinates (8, 4). Find the coordinates of point U.

Answer 1

To locate point U using the midpoint formula and the given coordinates of M (4, 6) and V (8, 4), we find that U has coordinates (0, 8).

Step-by-step explanation:

To find the coordinates of point U, we need to use the properties of a midpoint in a coordinate plane. The midpoint M is the average of the x-coordinates and y-coordinates of points U and V. Given M has coordinates (4, 6) and V has coordinates (8, 4), we can set up the following equations to find U's coordinates:

• The x-coordinate of M is the average of the x-coordinates of U and V:
• (xU + 8) / 2 = 4
• xU = 4 * 2 - 8 = 0
• The y-coordinate of M is the average of the y-coordinates of U and V:
• (yU + 4) / 2 = 6
• yU = 6 * 2 - 4 = 8

Therefore, the coordinates of point U are (0, 8).