Question

The midpoint of UV is (4,3). The coordinates of one endpoint are U (11,-2). Find the coordinates of the other endpoint, V

Answer 1

To find the coordinates of the other endpoint V, we need to use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment, given the coordinates of the endpoints (x1, y1) and (x2, y2), are:

(midpoint_x, midpoint_y) = ((x1 + x2) / 2, (y1 + y2) / 2)

We can plug in the known values into the formula:

midpoint_x = 4
midpoint_y = 3
x1 = 11
y1 = -2

Using the formula, we have:

4 = (11 + x2) / 2
8 = 11 + x2
x2 = 8 - 11
x2 = -3

3 = (-2 + y2) / 2
6 = -2 + y2
y2 = 6 + 2
y2 = 8

Therefore, the coordinates of the other endpoint V are V (-3, 8).