Question

Mis the midpoint of AB. Find the coordinates of each point.

.A (2,6), M (5, 12) Find B
O B (-1,0)
O B (-1, 18)
O B (3.5,9)
O B (8, 18)

Answer 1

If M is the midpoint of AB then the coordinates of point B are (8, 18) obtained by using midpoint formula.

Step-by-step explanation:

The midpoint formula for a line segment with endpoints (x1 ​ ,y1 ​ ) and (x 2 ​ ,y 2 ​ ) is given by:

M(x1+x2/2, y1+y2/2)

In this case, you know the coordinates of point A(2,6) and the midpoint M(5,12).

Let's denote the coordinates of point B as (x,y). Using the midpoint formula:

2+x/2 = 5

2+x=10

x=8

6+y/2=12

6+y=24

Subtract 6 from both sides:

y=24-6

y=18

Hence, the coordinates of point B are (8,18).