Answer to Question #194467 in Geometry for T P

Question

M(5,5) is the midpoint of RS. The coordinates of S are (7,2). What are the coordinates of R

Answer 1

Let $(x,y)$ be the coordinates of R.

Now, if $M(5,5)$ is the mid point of the line RS. Then it must satisfy the condition.

$5 = \dfrac{x+7}{2}$

$x= 3$

Also,

$5 = \dfrac{y+2}{2}$

$y=8$

Hence, the coordinates of point R are $(3,8).$