Point M is the midpoint of AB. The coordinates of point A are (-8, 1) and the coordinates of M are (-2,3). What are the coordinates of point B?
The coordinates of point B are ?

(4,5)

Step-by-step explanation:

take b as x2,y2

then apply mid point formula

x=(x1+y1)/2

y=(y1+y2)/2

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source: