Question

The midpoint of RS is M(9, 2). One endpoint is S(10, 3). Find the coordinates of the other

endpoint R.
Write the coordinates as decimals or integers.

Answer 1

Answer: R(8,1)

Explanation:

`\displaystyle\\M(9,2)\ \ \ \ S(10,3)\ \ \ \ R(x,y)=?\\\\M_x=(R_x+S_x)/(2) \\\\\Rightarrow\ 9=(x+10)/(2\\\\)`

Multiply both parts of the equation by 2:

`9(2)=x+10\\18=x+10\\18-10=x+10-10\\8=x`

`\displaystyle\\M_y=(R_y+S_y)/(2) \\2=(y+3)/(2)`

Multiply both parts of the equation by 2:

`2(2)=y+3\\4=y+3\\4-3=y+3-3\\1=y`

⇒ R(8,1)