SOLUTION: For the coordinates (5, 8) and (9, 14), one is an endpoint of a line segment and the other is the midpoint. How many possibilities are there for the other endpoint? Find each one.

Algebra ->  Length-and-distance -> SOLUTION: For the coordinates (5, 8) and (9, 14), one is an endpoint of a line segment and the other is the midpoint. How many possibilities are there for the other endpoint? Find each one.       Log On


   

Question 990979: For the coordinates (5, 8) and (9, 14), one is an endpoint of a line segment and the other is the midpoint. How many possibilities are there for the other endpoint? Find each one. Explain your method.
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
Case-1
let (5,8) be endpoint and (9,14) be midpoint
Let other end point be (x,y)
So, %28x%2B5%29%2F2+=+9 and %28y%2B8%29%2F2=14
=> x = 13 and y = 20
Case-2
let (5,8) be midpoint and (9,14) be endpoint
Let other end point be (x,y)
So, %28x%2B9%29%2F2+=+5 and %28y%2B14%29%2F2=8
=> x = 1 and y = 2
So possible coordinates of other end points,
(13,20) and (1,2)