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,

$a=\dfrac{x1+x2}{2}\ and\ b=\dfrac{y1+y2}{2}$

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

$8=\dfrac{9+x2}{2}\ and\ 7=\dfrac{5+y2}{2}$

⇒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)