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43 votes
43 votes
.

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

User Ferostar
by
2.8k points

1 Answer

15 votes
15 votes

9514 1404 393

Answer:

G(0, 20)

Explanation:

G = 2M -F

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

G = (0, 20)

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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

User The Dumb Radish
by
3.1k points