Question

What is the midpoint of the segment shown below ?

Answer 1

C) (x,y) =
`((5)/(2) , (7)/(2) )` is the mid point of AB.

Explanation:

Let A and B be the two end points of the segment shown.

So, the coordinates of the segment AB are A(2,2) and B(3,5).

Let (x,y) be the mid point of AB.

By mid point Formula,

Mid point (x, y) =
`((x_(1) + x_(2)  )/(2) ,(y_(1) + y_(2)  )/(2))`

⇒(x, y) =
`((2 + 3 )/(2) ,(2 + 5  )/(2))`

So, x = 5/2, and y = 7/2

Hence, (x,y) =
`((5)/(2) , (7)/(2) )` is the mid point of AB.

(c) is the correct option.