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

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2 votes

Answer:

(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).

User Ashutosh Arya
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