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