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

Answer:

B(7,9)

Step-by-step explanation:

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

The midpoint rule is given by:

$M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

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

$M(4.5,6)=(\frac{2+a}{2},\frac{3+b}{2} )$

Equate the corresponding components.

$4.5=\frac{2+a}{2}$ and $6=\frac{3+b}{2}$

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

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

$7=a$ and $9=b$

Therefore B has coordinates (7,9)