Question

Segment AB has and endpoint at A (2,5) and a mod point at M (4,0), find the other endpoint (B).

B = (1, -2.5)
B = (6,-5)
B = (3,2.5)
B = (2,-5)

Answer 1

The other endpoint B= (6, -5)

Explanation:

Given:

One end point A= (2,5)

Mid point M = (4,0)

To Find:

The Other point =?

Solution:

According to midpoint formula, if (x1, y1) and (x2, y2) are two ends of a line then it’s midpoint is given by :

`M(x,y)= (x1+ x2)/(2) ,(y1+ y2)/(2)`

Using the above formula

`4=(2+x_2)/(2)`..................................(1)

`0=(5+y_2)/(2)`..................................(2)

Solving equation(1)

tex]8=2+x_2[/tex]

`x_2=8-2`

`x_2=6`

Solving equation(2)

`0* 2=(5+y_2)/(2)`

`0=5+y_2`

`-5=y_2`

Thus
`x_2=6` and
`y_2 =-5`