Question

The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?

Answer 1

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

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

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

`(2,0)=\left((-3+a)/(2),(3+b)/(2)\right)`

On comparing both sides, we get

`(-3+a)/(2)=2`

`-3+a=2* 2`

`a=4+3`

`a=7`

And,

`(3+b)/(2)=0`

`3+b=0`

`3+b-3=0-3`

`b=-3`

Therefore, the coordinates of point B are (7,-3).