The midpoint of the segment joining points (a, b) and (j, k) is:

Question

asked Aug 22, 2021 110k views

1 Answer

Jukka Suomela · Answer 1 · 2021-08-28T16:12:53+0000

Answer:
((j+a)/(2),(k+b)/(2)) .

Explanation:

The mid point (x,y) of the line joining the points (a,b) and (c,d) is given by :-

(x,y)=((a+c)/(2),(b+d)/(2))

Let the midpoint of the segment joining points (a, b) and (j, k) be (x,y).

On the same criteria, the midpoint of the segment joining points (a, b) and (j, k) is given by :-

(x,y)=((a+j)/(2),(b+k)/(2))

Which can be written as

(x,y)=((j+a)/(2),(k+b)/(2))

Hence, the correct option is
((j+a)/(2),(k+b)/(2)) .