Respuesta :
Answer:
B: (9, 1)
Step-by-step 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:
B coordinate is ( 9 ,1).
Step-by-step 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 : [tex]\frac{(x_{1}+x_{2}}{2} ,\frac{(y_{1}+y_{2}}{2})[/tex].
On plugging the values.
(5,3) = [tex]+\frac{1+x_{2}}{2} ,\frac{(5+y_{2}}{2})[/tex].
Now on comparing x coordinates
[tex](\frac{(1+x_{2}}{2})[/tex] = 5
On multiplying both number by 2
1 +[tex]x_{2}[/tex] = 10.
On subtracting both sides by 1.
[tex]x_{2}[/tex] = 9
Now on comparing y coordinates
[tex]\frac{(5+y_{2}}{2})[/tex] = 3
On multiplying both number by 2
5 +[tex]y_{2}[/tex] = 6
On subtracting both sides by 5.
[tex]y_{2}[/tex] = 1
Then B coordinate is ( 9 ,1).
Therefore, B coordinate is ( 9 ,1).
Therefore, B coordinate is ( 9 ,1).
