Question

The midpoint of AB is M ( 4, 1 ). if the coordinates of A are (2,8), what are the coordinates of B ?

Answer 1

The coordinate of the midpoint M(4,1).

The coordinates of A is (2,8).

The coordinates of B can be determined from the mid-point theorem as,

`\begin{gathered} x=(x_1+x_2)/(2) \\ 4=(2+x_2)/(2) \\ x_2=8-2 \\ x_2=6 \\ y=(y_1+y_2)/(2) \\ 1=(8+y_2)/(2) \\ y_2=2-8 \\ y_2=-6 \end{gathered}`

Thus, the required coordinate of the B is (6,-6),.