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The midpoint of CD¯¯¯¯¯
is E(−1,0)
. One endpoint is C(5,2)
. What are the coordinates of the other endpoint?
To find the coordinates of the other endpoint, we need to use the midpoint formula.
The midpoint formula is given by:
Midpoint = ( (x_1 + x_2) / 2, (y_1 + y_2) / 2 )
We are given the coordinates of E (-1, 0) and C (5, 2), and we need to find the coordinates of the other endpoint D.
Let's denote the coordinates of D as (x, y).
Using the midpoint formula, we can write the following equations:
x = (5 + x) / 2
y = (2 + y) / 2
Simplifying the equations, we get:
2x - x = 10 - 2x
2y - y = 4 - 2y
Simplifying further, we get:
x = 10 - 2x
y = 4 - 2y
Rearranging the equations, we get:
3x = 10
3y = 4
Solving for x and y, we find:
x = 10 / 3
y = 4 / 3
Therefore, the coordinates of the other endpoint D are (10/3, 4/3).