Question

he midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5). Find the coordinates of point B.

Answer 1

B: (9, 1)

Explanation:

The mid point is (5, 3). Compare the x and y values to point A: (1,5)

We can see that the 'x' coordinate is 4 units higher than point A, so the x value for point B will be 4 points higher than the x value of the mid point.

5 + 4 = 9

We can see that the 'y' coordinate is 2 units less than point A, so the y value for point B will be 2 points less than the y value of the mid point.

3 - 2 = 1

Answer 2

B coordinate is ( 9 ,1).

Explanation:

Given : The midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5).

To find : Find the coordinates of point B.

Solution : We have given

Midpoint of segment AB = (5, 3).

The coordinates of point A = (1, 5).

Mid point :
`((x_(1)+x_(2))/(2) ,((y_(1)+y_(2))/(2))`.

On plugging the values.

(5,3) =
`+(1+x_(2))/(2) ,((5+y_(2))/(2))`.

Now on comparing x coordinates

`(((1+x_(2))/(2))` = 5

On multiplying both number by 2

1 +
`x_(2)` = 10.

On subtracting both sides by 1.

`x_(2)` = 9

Now on comparing y coordinates

`((5+y_(2))/(2))` = 3

On multiplying both number by 2

5 +
`y_(2)` = 6

On subtracting both sides by 5.

`y_(2)` = 1

Then B coordinate is ( 9 ,1).

Therefore, B coordinate is ( 9 ,1).

Therefore, B coordinate is ( 9 ,1).