Asked by anonymous
One endpoint of a line segment is (-7, 2). The midpoint of the line segment is (-1, -2). What are the co-ordinates of the other endpoint?
Answers
Answered by
anonymous
I don't want the answer just a formula
Answered by
Steve
the other endpoint is just as far from the midpoint as the first end is. So, If you have points A,M,B, then
B = M + (M-A)
That is,
Bx = Mx + (Mx-Ax)
By = My + (My-Ay)
Or, as you can see, B = 2M-A
B = M + (M-A)
That is,
Bx = Mx + (Mx-Ax)
By = My + (My-Ay)
Or, as you can see, B = 2M-A
Answered by
Reiny
If (a,b) and (c,d) are any two points, then the midpoint is ((a+c)/2 , (b+d)/2) )
Answered by
anonymous
Thanks Steve:)
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