r is the midpoint of segment ps.q is the midpoint of segment rs
p is located at (8,10), and s is located at (12,-6). what are the coordinates of q ?
a. (4,2)
B. (3,-8)
c. (11,-2)
d. (10,2)
To find the midpoint of a segment, you take the average of the x-coordinates and the average of the y-coordinates of the two endpoints.
We are given that point R is the midpoint of segment PS, and point Q is the midpoint of segment RS.
First, let's find the coordinates of R:
x-coordinate of R = (x-coordinate of P + x-coordinate of S) / 2 = (8 + 12) / 2 = 20 / 2 = 10
y-coordinate of R = (y-coordinate of P + y-coordinate of S) / 2 = (10 + (-6)) / 2 = 4 / 2 = 2
So, the coordinates of R are (10, 2).
Next, let's find the coordinates of Q:
x-coordinate of Q = (x-coordinate of R + x-coordinate of S) / 2 = (10 + 12) / 2 = 22 / 2 = 11
y-coordinate of Q = (y-coordinate of R + y-coordinate of S) / 2 = (2 + (-6)) / 2 = -4 / 2 = -2
So, the coordinates of Q are (11, -2).
Therefore, the answer is c. (11, -2).