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Step-by-step explanation:
given that
midpoint of line segment joining the points (5, 7) and (3, 9) is also the midpoint of line segment joining the point (8, 6) and (a, b)
we have to find a and b =?
solution:-
at first
let (x,y) are the mid point of the two points A(5,7)
and B(3,9)
here using midpoint formula
x=(x1+x2)/2 = (5+3)/2 = 8/2 = 4
and
y= (y1+ y2)/2 = (7+9)/2 = 16/2 =8
the coordinates of mid point are (4,8)
According to question ,
(4,8) is also the midpoint of points C(8,6) and D(a,b)
=> 4 = (8+a)/2 => 8= 8+a => a= 0
and also
=> 8= ( 6+b)/2 => 16 = 6+b
=> b = 16-6 = 10
so
a= 0 & b= 10 answers
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