Asked by kate
                11. The midpoint of is E(–1, 0). One endpoint is C(5, 2). What are the coordinates of the other endpoint?
can someone please explain how to do this problem
            
        can someone please explain how to do this problem
Answers
                    Answered by
            Steve
            
    For the x-coordinate,
C is 6 units to the right of E
For the y-coordinate,
C is 2 units above E
So, since E is the midpoint, the other endpoint is
6 to the left and 2 below E, or (-7,-2)
Algebraically, you know that if the ends are C and D,
(Cx+Dx)/2 = Ex
(Cy+Dy)/2 = Ey, so
(5+Dx)/2 = -1
(2+Dy)/2 = 0
5+Dx = -2
Dx = -7
2+Dy = 0
Dy = -2
as shown above
    
C is 6 units to the right of E
For the y-coordinate,
C is 2 units above E
So, since E is the midpoint, the other endpoint is
6 to the left and 2 below E, or (-7,-2)
Algebraically, you know that if the ends are C and D,
(Cx+Dx)/2 = Ex
(Cy+Dy)/2 = Ey, so
(5+Dx)/2 = -1
(2+Dy)/2 = 0
5+Dx = -2
Dx = -7
2+Dy = 0
Dy = -2
as shown above
                    Answered by
            kate
            
    thank you
    
                    Answered by
            mia
            
    did you use the midpoint formula
    
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