Given the endpoint A(4, 8) and midpoint M(-3, 1), find the missing endpoint B.

Question

Need help,, tis geo class is hard especially virtually!

Answer 1

Midpoint (x,y) of (x1,y1) and (x2,y2) is

x = (x1 + x2)/2

y = (y1 + y2)/2

here (x1,y1) is A(4,8) and midpoint (x,y) is (-3,1) and we want to find B(x2,y2)

substituting those values in the above equations and solving for B(x2,y2):

-3 = (4 + x2)/2

-6 = 4 + x2

-10 = x2

1 = (8 + y2)/2

2 = 8 + y2

-6 = y2

B(x2,y2) = B(-10,-6)