AB is a line segment. The midpoint of the line segment AB has coordinates (3, 5)

Point A has coordinates (9, 2)
Work out the coordinates of point B.

(-3,8)

Step-by-step explanation:

Lets say two points are (x1,y1) and (x2,y2), the midpoint will be:

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

Plugging the point A in, we get: the midpoint, (3,5) as (((9+x2)/2),(2+y2)/2)

We can assign x2 and y2 as variables.

(9+x2)/2=3

9+x2=6

x2= -3

(2+y2)/2=5

2+y2=10

y2=8

therefore we get the point (-3,8)

There are better ways and this is the "formulaic (ig) way" to do this

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.