Question

A line segment has the endpoint T(2,4) and the Midpoint of (11,6.5) Find the coordinates of the other point B. Write it as a point.

Answer 1

Answer:

(20, 9)

Explanation:

The coordinates of one of the endpoints of the line is: T(2,4)

The midpoint of line segment TB = (11,6.5)

Let the coordinates of B be (x,y).

$\text{Midpoint(11,6.5)}=\mleft(\frac{2+x}{2},\frac{4+y}{2}\mright)$

We then solve for x and y.

$\begin{gathered} 11=\frac{2+x}{2} \\ x+2=22 \\ x=22-2 \\ x=20 \end{gathered}$

Similarly

$\begin{gathered} 6.5=\frac{4+y}{2} \\ y+4=13 \\ y=13-4 \\ y=9 \end{gathered}$

The coordinates of the other point B is (20, 9)