Question

The point M(6,4) is the midpoint of R(12,8) and S. Find the coordinates for S.

a) S(0,0)
b) S(18,12)
c) S(24,16)
d) S(30,20)

Answer 1

To find the coordinates of point S, we can use the midpoint formula. 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. The coordinates of point S are (9, 6).

Step-by-step explanation:

To find the coordinates of point S, we can 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.

The x-coordinate of R is 12 and the x-coordinate of M is 6, so the x-coordinate of S is (12 + 6) / 2 = 9.

The y-coordinate of R is 8 and the y-coordinate of M is 4, so the y-coordinate of S is (8 + 4) / 2 = 6.

Therefore, the coordinates of point S are (9, 6).