Question

If q is the midpoint of segment PR, find the coordinates of R if P (11,-2) and Q (4,3) ​

Answer 1

R(-3, 8)

Explanation:

R = 2Q -P

R = 2(4, 3) -(11, -2) = (8-11, 6+2)

R = (-3, 8)

_____

You can derive the formula for the endpoint from the formula for the midpoint:

Q = (R + P)/2

R = 2Q - P . . . . . . multiply by 2 and subtract P