Question

V is the midpoint of GH⎯⎯⎯⎯⎯⎯. G has coordinates (5,−3), and V has coordinates (−1,3). Identify the coordinates of H.

Answer 1

Answers:

(3, 3)

(−7, 9)

(−6, 6)

Answer 2

H = (- 7, 9 )

Explanation:

The midpoint is the average of the x and y coordinates of the endpoints.

G (5, - 3 ) , V (- 1, 3 ) , let H = (x, y ) , then

`(x+5)/(2)` = - 1 ( multiply both sides by 2 )

x + 5 = - 2 ( subtract 5 from both sides )

x = - 7

and

`(y-3)/(2)` = 3 ( multiply both sides by 2 )

y - 3 = 6 ( add 3 to both sides )

y = 9

Coordinates of H = (- 7, 9 )