Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The midpoint of UV¯¯¯¯¯
is (5,−11)
. The coordinates of one endpoint are U(3,5)
. Find the coordinates of endpoint V.

(2 points)

Answer 1

To find the coordinates of endpoint V, we can use the midpoint formula.

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

x-coordinate of the midpoint = (x1 + x2) / 2
y-coordinate of the midpoint = (y1 + y2) / 2

Given that the midpoint of UV is (5, -11) and one endpoint is U(3,5), we can substitute these values into the formulas to find the coordinates of endpoint V.

x-coordinate of V = (x-coordinate of U + x-coordinate of the midpoint) / 2
y-coordinate of V = (y-coordinate of U + y-coordinate of the midpoint) / 2

x-coordinate of V = (3 + 5) / 2 = 8 / 2 = 4
y-coordinate of V = (5 + (-11)) / 2 = -6 / 2 = -3

Therefore, the coordinates of endpoint V are V(4, -3).