Question

M is the midpoint of RS and R has the coordinates 2,5. M has coordinates 6,1. Find the coordinates of S

Answer 1

`(4, 3)`

Explanation:

Rather than driving ourselves crazy with graphs and such, let's think of finding two midpoints: one in the horizontal direction and one in the vertical direction. This will give us our x- and y-coordinates for S.

Let's start with the x-coordinate. R exists on x = 2 and M exists on x = 6. To find the midpoint, we need to find the mean.
`(2+6)/(2) = [tex](8)/(2)` = 4[/tex]. Therefore, the x-coordinate for S is 4.

Moving onto the y-coordinate, R exists on y = 5 and M exists on y = 1. We're gonna use the same thing we did for the other midpoint.
`(1+5)/(2) = (6)/(2) = 3`. The y-coordinate for S is 3.

Slap those two number together and we have the coordinates for S,
`(4, 3)`!