Question

Find the coordinates of Q if R(6, -1) is the midpoint of QS and S has coordinates (12, 4).

A. Q(0, 6)
B. Q(8, -5)
C. Q(6, 2)
D. Q(12, 8)

Answer 1

To find the coordinates of Q, we use the midpoint formula, which states that the coordinates of the midpoint is the average of the coordinates of the two endpoints.

Step-by-step explanation:

To find the coordinates of Q, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint is the average of the coordinates of the two endpoints. In this case, the coordinates of R are (6, -1) and the coordinates of S are (12, 4). So, the x-coordinate of Q is (6+12)/2 = 9 and the y-coordinate of Q is (-1+4)/2 = 1. Therefore, the coordinates of Q are (9, 1).