Question

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) (2,-8)
c) (11,-2)
d) (10,2)

please help​

Answer 1

Answer: c) (11,-2)

Step-by-step explanation:

The formula for calculate a midpoint is:

$M=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

You know that R is the midpoint of segment PS and P is located at (8,10), and S is located at (12,-6). Then you can substitute these coordinates into the formula to find the coordinates of the midpoint R:

 $M_{R}=(\frac{12+8}{2}, \frac{10+(-6)}{2})=(10,2)$

Now, knowing the coordinates of R and S, you can substitute them into the formula to find the coordinates of the midpoint Q of segment RS. Then:

$M_{Q}=(\frac{10+12}{2}, \frac{2+(-6)}{2})=(11,-2)$