Question

The midpoint m of fg has coordinates (5, 3). point g has coordinates (5, 6). find the coordinates of point f.

Answer 1

The coordinates of point f is (5, 0).

We are given the coordinates of midpoint m as:

(5, 3)

The coordinate of point g is:

(5, 6)

Let the coordinate of point f be (x, y)

Mid point formula:

{(x + 5) / 2, (6 + y) / 2} = {5, 3}

By comparing, we get that:

x + 5 / 2 = 5

x + 5 = 10

x = 10 - 5

x = 5

6 + y / 2 = 3

y + 6 = 6

y = 6 - 6

y = 0

(x, y) = (5, 0)

Therefore, we get the coordinates of point f is (5, 0).

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