Question

Find the coordinates of the midpoint of a segment having the given endpointsT(3, 1) U(5, 3)

Answer 1

M = (4, 2)

Step-by-step explanation

We want to find the coordinates of the midpoint of the segment having endpoints T(3, 1) and U(5, 3)

We know that cordinates in 2 dimensions are given in the form:

A(x, y)

So, to find the midpoint, we have to add the two x cordinates from T and U and divide by 2 and then do the same for y.

In other words:

`\text{Midpoint, M = (}\frac{x_{1\text{ }}+x_2}{2},(y_1+y_2)/(2))`
`x_{1\text{ }}=3,x_2=5,y_1=1,y_2\text{ = 3}`

Therefore, the midpoint, M, is:

`\begin{gathered} M\text{ = (}\frac{3\text{ + 5}}{2},\text{ }\frac{1\text{ + 3}}{2}) \\ M\text{ = (}(8)/(2),(4)/(2)\text{)} \\ M\text{ = (4, 2)} \end{gathered}`

That is the midpoint