Question

the 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) find a and b

Answer 1

hello friends....

here is the solution you looking for

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 mid point 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 mid point 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

hence
a= 0 & b= 10 answers

♣♣ hope it helps ♣♣

Answer 2

Hope it helps you...... Mark it as brainist