Question

Find the midpoint of the segment with the given endpoints.

A(3, –5) and C(2, 9) (1 point)

(–1, 5.5)
(0.5, –7)
(2.5, 2)
(8, –7)

Answer 1

The correct option is C.

Explanation:

Given information: End point of a line segment are A(3, –5) and C(2, 9).

We to find the midpoint of line segment AC.

If the end point of a segment are
`(x_1,y_1)` and
`(x_2,y_2)`, then the midpoint of that segment is

`Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2))`

`Midpoint=((3+2)/(2),(-5+9)/(2))`

On simplification, we get

`Midpoint=((5)/(2),(4)/(2))`

`Midpoint=(2.5,2)`

The midpoint of given segment is (2.5,2). Therefore the correct option is 3.

Answer 2

To solve for the midpoint of the segment we use the equation that is given as:

(x1 + x2 / 2) , (y1 + y2 / 2)

For the points given,

(x1 + x2 / 2) , (y1 + y2 / 2)
(3+ 2 / 2) , (-5 + 9 / 2)
(5/2 , 2) or (2.5 , 2)

Hope this answers the question. Have a nice day. Feel free to ask more questions.