Respuesta :

A midsegment is given by the formula:
[tex] \frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex]

Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:

[tex] \frac{-3+5}{2} , \frac{-1+3}{2}[/tex]
This gets us a midpoint coordinate of (1,1)

As for distance, it will be found by doing:
[tex] \sqrt{(x2-x1)^2+(y2-y1)^2} [/tex]
We can do the following:

[tex] \sqrt{(5-(-3))^2+(3-(-1))^2} [/tex]
[tex] \sqrt{(8)^2+(4)^2} [/tex]
[tex] \sqrt{64+16} [/tex]
This simplifies to [tex]4 \sqrt{5} [/tex]

:)
The midpoint of segment ST is (1,1).
The length of segment ST is 8 units.