ANSWER
B) (m+p,n+r)
The coordinates are :
A(2m,2n)
B(2p,2r)
To find the x-coordinate of the midpoint of AB, we add the x-coordinates of the two points and divide by 2.
[tex]x = \frac{2m + 2p}{2} [/tex]
Factor
[tex]x = \frac{2(m + p)}{2} [/tex]
Simplify:
[tex]x = m + p[/tex]
Similarly, the y-coordinate is
[tex]y = \frac{2n + 2r}{2} [/tex]
[tex]y = \frac{2(n + r)}{2} [/tex]
[tex]y = (n + r)[/tex]
Hence the midpoint is
(m+p,n+r)
