Question

Find the midpoint of the segment below

Answer 1

1.
If we are given 2 points A(a, b) and B(c, d),

the midpoint M, of segment AB has coordinates:


`M_A_B=( (a+c)/(2) , (b+d)/(2) )`

2.
We are given the points A(2, 3) and B(10, 3)

the midpoint of AB, is given by the above formula:


`M_A_B=( (2+10)/(2) , (3+3)/(3) )=(6, 3)`

3.
Remark, since the segment is horizontal, that is the y-coordinate of both points is 3, the y coordinate of the midpoint will also be 3.

While the x coordinate is still found by
`(2+10)/(2)`

Answer: (6, 3)