Question

prove that midpoint of a line segnment which joins points (5,7)and (3,9)is the same as midpoint of line segnment which joints points (8,6)and (0,10)

Answer 1

Mid point of AB if A = (x1, y1) and B = (x2, y2) is
(x1+x2)/2 , (y1+y2)/2

Now, mid point of (5,7) and (3,9)
= (5+3)/2 and (7+9)/2
= 8/2 and 16/2
= 4 and 8.

Also, mid point of (8,6) and (0,10)
= (8+0)/2 and (6+10)/2
= 8/2 and 16/2
= 4 and 8.

Hence proved.