Question

What is the midpoint of the segment shown below?

10 -
O A. (1,-3)
-(1,2
B. (2,-3)
10
10
O C. (2, -3)
(1.-5)
10-
O D. (1.-

Answer 1

D.
`(1, (-3)/(2))`

Explanation:

Midpoint (M) of between the endpoints of the segments, (1, 2) and B(1, -5) is given as:

`M((x_1 + x_2)/(2), (y_1 + y_2)/(2))`

Let
`(1, 2) = (x_1, y_1)`

`(1, -5) = (x_2, y_2)`

Thus:

`M((1 + 1)/(2), (2 + (-5))/(2))`

`M((2)/(2), (-3)/(2))`

`M(1, (-3)/(2))`