The midpoint of line CD is E(-1,0). One endpoint is C(5,2). What are the coordinates of the other endpoint
Let's call the other endpoint D(x, y).
We know that the x-coordinate of the midpoint E is the average of the x-coordinates of the endpoints C and D:
(5 + x)/2 = -1
Simplifying the equation, we have:
5 + x = -2
x = -7
Similarly, the y-coordinate of the midpoint E is the average of the y-coordinates of the endpoints C and D:
(2 + y)/2 = 0
Simplifying the equation, we have:
2 + y = 0
y = -2
Therefore, the coordinates of the other endpoint D are (-7, -2).
To find the coordinates of the other endpoint, we first need to find the midpoint of the line CD using the given information.
Given:
Midpoint E(-1,0)
Endpoint C(5,2)
The midpoint formula is given by:
Midpoint = [(x1 + x2)/2, (y1 + y2)/2]
Let the coordinates of the other endpoint be D(x, y).
Using the midpoint formula, we can set up the following equations:
-1 = (5 + x)/2 (Equation 1)
0 = (2 + y)/2 (Equation 2)
Simplifying Equation 1:
-2 = 5 + x
x = -7
Simplifying Equation 2:
0 = 2 + y
y = -2
Therefore, the coordinates of the other endpoint D are (-7, -2).