MATH 157
posted by ggift .
I am looking everywhere.....in my notes and in my chapter. What would the other endpoint of a line segment with the given midpoint and one endpoint?
ENDPOINT (0,0) MIDPOINT (2, 8)

Use the midpoint formula:
x coordinate: (1st_x + 1st_y)/2
y coordinate: (2nd_x + 2nd_y)/2
So you could put it into an equation like this:
2 = (0 + x)/2 (for the x coordinate)
8 = (0+ y)/2 (for the y coordinate)
I know it may have seemed confusing how I wrote it out, so please ask if you need any clarification of my solution. 
let the other endpoint be (a,b)
using the midpoint formula
((a+0)/2,(b+0)/2) = (2,8)
so a/2 = 2 or a=4
and b/2 = 8, or b = 16
the other endpoint is (4,16)
check by finding the midpoint between (0,0) and (4,16) 
thank you both!!!
Respond to this Question
Similar Questions

Math
Find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint:(0,0); Midpoint:(2,8). My answer is:(4,16). Is this correct? 
Math, please check work
find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint: (0,0) midpoint: (4, 3) I would Double the midpoint and add on the endpoint The other endpoint would be (8, 6) is this correct? 
geometry
Find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint: ( 6, 1); Midpoint:(15/2,2 
Math
Find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint (6, 4): midpoint (3, 5). 
Math
Find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint (6, 4): midpoint (3, 5). 
Math
find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint: (6, 4); midpoint: (3, 5) 
math
Find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint: (0, 0); Midpoint: ( 2, 8) 
math
Find the other endpoint of a line segment with the given midpoint and one endpoint. Endpoint: (0, 0); Midpoint: ( 4, 2) 
trig
Find the other endpoint of the line segment with the given endpoint and mid point. 1. Endpoint:(1, 9), midpoint: (9, 10) 2. Endpoint: (2, 5), midpoint: (5, 1) 3. Endpoint:(9, 10), midpoint: (4, 8) 
geometry
One endpoint and the midpoint of a segment are given. Find the coordinates of the other endpoint. Show all your work. A. Endpoint: (1,9) Midpoint: (9,10) Endpoint: _______ B. Endpoint: (9,10) Midpoint: (4,8) Endpoint: ________