Question

M is the midpoint of . The coordinates of A are (2,3) and the coordinates of M are (4.5,6). Find the coordinates of B.

Answer 1

B(7,9)

Explanation:

Let the coordinates of B be (a,b).

The midpoint rule is given by:

`M(x,y)=((x_1+x_2)/(2),(y_1+y_2)/(2) )`

We substitute the coordinates of A(2,3), B(a,b) and the coordinates of M are (4.5,6).

`M(4.5,6)=((2+a)/(2),(3+b)/(2) )`

Equate the corresponding components.

`4.5=(2+a)/(2)` and
`6=(3+b)/(2)`

`9=2+a` and
`12=3+b`

`9-2=a` and
`12-3=b`

`7=a` and
`9=b`

Therefore B has coordinates (7,9)