The midpoint of AB is (2, 4) Point A is at (7, 2) where is point B?
A. (4,2)
B. (5,2)
C. (-3,6)
D. (6,-3)
To find the coordinates of point B, we need to determine the changes in x and y coordinates from point A to the midpoint (2, 4).
Change in x: Midpoint x - Point A x
= 2 - 7
= -5
Change in y: Midpoint y - Point A y
= 4 - 2
= 2
So the changes in x and y coordinates from point A to the midpoint are -5 and 2, respectively.
To find the coordinates of point B, we add these changes to the x and y coordinates of point A.
Point B x: Point A x + Change in x
= 7 + (-5)
= 2
Point B y: Point A y + Change in y
= 2 + 2
= 4
Therefore, the coordinates of point B are (2, 4).
The answer is not listed in the options provided.