Let the coordinates of the other endpoint be (x,y).
Using the midpoint formula, we know that the midpoint is the average of the x-coordinates and the average of the y-coordinates of the endpoints. Therefore, we have:
(x + (-5))/2 = -10/2 ---> (x - 5)/2 = -5
(x - 5) = -5*2 ---> x - 5 = -10
x = -10 + 5 ---> x = -5
Similarly, we have:
(y + 4)/2 = -6/2 ---> (y + 4)/2 = -3
(y + 4) = -3*2 ---> y + 4 = -6
y = -6 - 4 ---> y = -10
Therefore, the other endpoint is (-5, -10).
Find the other endpoint of the line segments with the given endpoint and midpoint.
Endpoint: (-5,4)
Midpoint: (-10,-6)
What is the endpoint for the endpoint and midpoint above.
1 answer