conor19
Answered

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Over line TU has a midpoint at M(5,5) . Point T is at (1,8). Find the coordinates of point U.

Sagot :

akposevictor

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).

Learn more about the midpoint formula on:

https://brainly.com/question/13115533

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