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)

Explanation:

The formula for calculate a midpoint is:

`M=((x_1+x_2)/(2), (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)=((12+8)/(2), (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)=((10+12)/(2), (2+(-6))/(2))=(11,-2)`