Question

M is the midpoint of GR, G has coordinates ( -8,3) and M is at the origin. Find the coordinates of R

Answer 1

Since M is the midpoint and has the coordinate (0, 0), therefore the distance of G to M and R to M must be equal. This also means that point M is the average of the coordinates of G and R. Therefore:

(x + -8) / 2 = 0

x = 8

 

(y + 3) / 2 = 0

y = -3

 

Therefore point R is located at (8, -3).