Question

Find the coordinates of the midpoint of a segment with the given endpoints T(3,1) , U(5,3)

Answer 1

(4, 2)

Explanation:

Given the coordinates of a line segment with endpoints T and U below:

`\begin{gathered} (x_1,y_1)=T\left(3,1\right) \\ (x_2,y_2)=U\left(5,3\right) \end{gathered}`

To find the coordinates of the midpoint of TU, we use the midpoint formula given below:

`\begin{equation}M(x,y)=\left((x_1+x_2)/(2),(y_1+y_2)/(2)\right) \end{equation}`

Substitute the given values:

`M(x,y)=\left((3+5)/(2),(1+3)/(2)\right)`

Then simplify:

`M(x,y)=\left((8)/(2),(4)/(2)\frac{}{}\right)=(4,2)`

The midpoint of segment TU is at (4, 2).