Question

M(8, 7) is the midpoint of RS. The coordinates of S are (9, 5). What are the coordinates of R?

A)(10, 3)

B)(8.5, 6)

C)(16, 14)

D)(7, 9)

Answer 1

C)(16, 14) is the answer.

Answer 2

Answer with Step-by-step explanation:

If the mid point of (x1,y1) and (x2,y2) is (a,b) then,

`a=(x1+x2)/(2)\ and\ b=(y1+y2)/(2)`

Here, (x1,y1)=(9,5) and (a,b)=(8,7) we have to find (x2,y2)

`8=(9+x2)/(2)\ and\ 7=(5+y2)/(2)`

⇒16=9+x2 and 14=5+y2

⇒x2=16-9 and y2=14-5

⇒ x2=7 and y2=9

Hence, The coordinate of R is:

D) (7, 9)