Question

M(5, 6) is the midpoint of DG. If D is at (9, 5), then where is G?

A. (1, 7)
B. (3, 8)
C. (0, 6)
D. (7, 4)

Answer 1

The coordinates of point G are (7, 5.5).

Step-by-step explanation:

To find the coordinates of point G, we need to use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.

Given that M(5, 6) is the midpoint of DG and D is at (9, 5), we can substitute the values into the midpoint formula:

x-coordinate of G = (x-coordinate of D + x-coordinate of M) / 2 = (9 + 5) / 2 = 14 / 2 = 7

y-coordinate of G = (y-coordinate of D + y-coordinate of M) / 2 = (5 + 6) / 2 = 11 / 2 = 5.5

Therefore, the coordinates of point G are (7, 5.5).