The midpoint of CD¯¯¯¯¯
is E(−1,0)
. One endpoint is C(5,2)
. What are the coordinates of the other endpoint?
Let the coordinates of the other endpoint be (x, y). According to the midpoint formula, the coordinates of the midpoint E(-1, 0) can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints:
x-coordinate of E = (x-coordinate of C + x-coordinate of other endpoint) / 2
-1 = (5 + x) / 2
Solving for x, we get:
-2 = 5 + x
x = -7
y-coordinate of E = (y-coordinate of C + y-coordinate of other endpoint) / 2
0 = (2 + y) / 2
Solving for y, we get:
0 = 2 + y
y = -2
Therefore, the coordinates of the other endpoint are (-7, -2).
To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) is given by the average of the x-coordinates and the average of the y-coordinates.
In this case, we have the midpoint E(-1, 0) and endpoint C(5, 2). Let's call the coordinates of the other endpoint (x, y).
Using the midpoint formula, we can set up the following equations:
(x1 + x2)/2 = -1 (for the x-coordinates)
(x + 5)/2 = -1
Solving for x, we get:
(x + 5)/2 = -1
x + 5 = -2
x = -2 - 5
x = -7
Similarly, using the y-coordinates:
(y1 + y2)/2 = 0 (for the y-coordinates)
(2 + y)/2 = 0
Solving for y, we get:
(2 + y)/2 = 0
2 + y = 0
y = -2
So, the coordinates of the other endpoint are (-7, -2).