Question

What is the midpoint of the segment shown below?

(2,4) and (2,-7)
A. (2,-3/2)

B. (4,-3/2)

C. (4,-3)

D. (2,-3)

Answer 1

Choice A is correct.

Explanation:

Mid-point is half way between two end-points of a line segment.

It is denoted by M.It is represented as coordinate.

The formla to find mid-point of a line segment is

M= (
`x_(1) +x_(2)`/2,
`y_(1) +y_(2)`/2)

From question statement,we observe that

`x_(1)`=2
`y_(1)` =4

`x_(2)`=2
`y_(2)` =-7

Putting above values in formula to find mid-point,we get

M=(2+2/2,4-7/2)

M=(4/2,-3/2)

M=(2,-3/2) is mid-point of given line segment.

Answer 2

A

Explanation:

Find the midpoint using the midpoint formula

midpoint = [
`(1)/(2)`(2 + 2),
`(1)/(2)`(4 - 7) ] = (2, -
`(3)/(2)`)