Answer:
Option (A)
Step-by-step explanation:
If the extreme ends of a segment are [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex],
Coordinates of the mid-point will be = [tex][\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}][/tex]
And the length of the segment is = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of the extreme ends of the ST are S(-3, 2) and T(5, 8).
Therefore, coordinates of the midpoint of ST will be = [tex](\frac{-3+5}{2},\frac{2+8}{2})[/tex]
= [tex](1,5)[/tex]
Length of ST = [tex]\sqrt{(5+3)^2+(8-2)^2}[/tex]
= [tex]\sqrt{64+36}[/tex]
= 10 units
Option (A) will be the answer.
