Question

The midpoint of AB is M (0, 3). If the coordinates of A are (1, 2), what are

Answer 1

The coordinates of point B are (-1,4).

Given the line segment AB has a midpoint M and M has coordinates (0,3) and the coordinates of endpoints are A(1,2) and the coordinates of B are unknown and asked to find out the coordinates of B.

Let's assume the coordinates of B as(a,b).

Midpoint formula=($\frac{x1+x2}{2}$,$\frac{y1+y2}{2}$) For the line segment  having endpoints(x1,y1)   and (x2,y2)

Here (x1,y1)=(1,2) and (x2,y2)=(a,b)

Midpoint (M)=(0,3)

(0,3)=($\frac{1+a}{2}$,$\frac{2+b}{2}$)

⇒0=$\frac{1+a}{2}$

⇒a=-1

⇒6=2+b

⇒4=b.

Therefore, The coordinates of point B are(-1,4).

Learn more about coordinates here:

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