SOLUTION: Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint. A(0,9), M(2,5)

Algebra ->  Length-and-distance -> SOLUTION: Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint. A(0,9), M(2,5)      Log On


   



Question 210057: Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint.
A(0,9), M(2,5)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint.
A(0,9), M(2,5)
-----------------------
Let the other end point be (x,y)
-----------------
The midpoint coordinates are the average of the corresponding
end point coordinates.
-----------------------
(x+0)/2 = 2
x = 4
----
(y+9)/2 = 5
y+9 = 10
y = 1
-----------------
The other end point is (4,1)
====================================
Cheers,
Stan H.
Reply to stanbon@comcast.net