SOLUTION: find the coordinates of the missing endpoint given the E is the midpoint of DF 1.F (5,8),E(4,3) 2.F(2,9),E(-1,6) 3.D(-3,-8),E(1,-2) plz i rely cant find out how to do

Algebra ->  Length-and-distance -> SOLUTION: find the coordinates of the missing endpoint given the E is the midpoint of DF 1.F (5,8),E(4,3) 2.F(2,9),E(-1,6) 3.D(-3,-8),E(1,-2) plz i rely cant find out how to do       Log On


   

Question 345592: find the coordinates of the missing endpoint given the E is the midpoint of DF
1.F (5,8),E(4,3)
2.F(2,9),E(-1,6)
3.D(-3,-8),E(1,-2)
plz i rely cant find out how to do these and im home sick so i cant get help from teacher.
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the midpoint formula,
highlight%28x%5BE%5D=%28x%5BD%5D%2Bx%5BF%5D%29%2F2%29
4=%28x%5BD%5D%2B5%29%2F2
x%5BD%5D%2B5=8
.
.
.
highlight%28y%5BE%5D=%28y%5BD%5D%2By%5BF%5D%29%2F2%29
3=%28y%5BD%5D%2B8%29%2F2
y%5BD%5D%2B8=6
.
.
.
Complete the calculation to solve the problem.
Use the highlighted formula for all of the problems.
Plug in the values you know, solve for the unknown values.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the midpoint formulas:

and



where and are the coordinates of the given points. In your case, you are given one of the points and the coordinates of the midpoint, so you will substitute values for and that you get from point F or D and for and that you get from point E. Then solve the equation for and to get the values for the coordinates for either D or F as the case may be.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism