Using the midpoint formula, the coordinates of point U are: (9, 2).
How to Apply the Midpoint Formula?
The midpoint formula is: M[(x2 + x1)/2, (y2 + y1)/2]
Given the following:
Midpoint of TU is at: M(5,5)
Point T is at (1, 8), therefore, let:
M(5,5) = (x, y)
T(1, 8) = (x1, y1)
U(?, ?) = (x2, y2)
Plug in the values
M(5, 5) = [(x2 + 1)/2, (y2 + 8)/2]
5 = (x2 + 1)/2
10 = x2 + 1
10 - 1 = x2
9 = x2
x2 = 9
5 = (y2 + 8)/2
10 = y2 + 8
10 - 8 = y2
2 = y2
y2 = 2
The coordinates of point U are: (9, 2).
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