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