Question

The midpoint of QR is (4, -1).
Q = (3.1)
What are the coordinates of point R?

Answer 1

(5,-3)

Explanation:

Given that,

The coordinates of Q = (3,1)

The midpoint of QR = (4,-1)

We need to find the coordinates of point R.

We know that, according to mid-point theorem,

`(x_m,y_m)=((x_1+x_2)/(2),(y_1+y_2)/(2))`

Let (x₂,y₂) be the coordinates of point R.

So,

`(4,-1)=((3+x_2)/(2),(1+y_2)/(2))\\\\(3+x_2)/(2)=4\ and\ (1+y_2)/(2)=-1\\\\3+x_2=8\ and\ y_2+1=-2\\\\x_2=5\ and\ y_2=-3`

So, the coordinates of point R is (5,-3).