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

the coordinates of B is B(7,-3)

Explanation:

Solution,

Here, M(2,0) is the midpoint of a line segment joining the points A(-3,3)

and B(a,b)

Let,

(x,y)=(2,0)

(x1,y1)=(-3,3)

(x2,y2)=(a,b)

Now,

Using midpoint formula

`x=(x_1+x_2)/(2) ,y=(y_1+y_2)/(2) \\\\2=(-3+a)/(2) ,0=(3+b)/(2) \\\\`[Cross multiply]

`4=-3+a,0=3+b\\\\4+3=a,0-3=b\\\\a=7,b=-3`

Answer 2

(7, -3)

Explanation:

If M is the midpoint you can use the same translation from A to M as M to B.

The movement from A to M is 5 units up and 3 units left, or (x+5, y-3). If we do the same movement to point M (Which is (2) +5, (0) -3) we will get (7, -3).