Question

M is the midpoint of AB. The coordinates of A are (2,3) and the coordinates of M are (4.5,6). Find the coordinates of B.

Answer 1

@jim_thompson5910

Answer 2

Do you know how to find the midpoint?

Answer 3

yes

Answer 4

So if B is the point (x,y), then how would use this point and point A to find the midpoint?

Answer 5

um?
it would be
(2+x)/2, (3+y)/2

Answer 6

yes you got it

Answer 7

Since we know that the midpoint of AB is M(4.5,6), we can say...


(2+x)/2 = 4.5

and

(3+y)/2 = 6

Answer 8

so it would be B=(7, 9)

Answer 9

You are absolutely correct. Nice job.