Question

M is the midpoint of RS and R has coordinates (2, 5). M has coordinates (6, 9). Find the coordinates of S. A (4.5, 6.5) C (4,4) B (10, 13) D (16, 16)

Answer 1

Answer: (10, 13)

Work Shown

• (2,5) = location of point R
• (x,y) = location of point S
• (6,9) = location of midpoint M

To get the x coordinate of the midpoint, we add the x coordinates of R and S. Then we divide in half.

(2+x)/2 = 6

2+x = 2*6

2+x = 12

x = 12-2

x = 10

Follow similar steps for the y coordinate.

(5+y)/2 = 9

5+y = 2*9

5+y = 18

y = 18-5

y = 13

Point S is located at (10,13)

I recommend using GeoGebra or Desmos to visually confirm this answer.