Question

.
The midpoint M of FG has coordinates (7, 19). Point Fhas coordinates (14, 18). Find the
coordinates of point G.

Answer 1

9514 1404 393

Answer:

  G(0, 20)

Step-by-step explanation:

G = 2M -F

G = 2(7, 19) -(14, 18) = (14 -14, 38 -18)

G = (0, 20)

__

Additional comment

This formula for finding the end point from the midpoint and the other end can be derived from the fact that the midpoint is the average of the endpoints.

  M = (F+G)/2

  2M = F+G . . . . . multiply by 2

  G = 2M -F . . . . . subtract F