Question

8. The endpoints of ST are $(-3, 2) and T(5,8). Find the coordinates of

the midpoint of ST. Then find ST.

Answer 1

Option (A)

Explanation:

If the extreme ends of a segment are
`(x_1, y_1)` and
`(x_2,y_2)`,

Coordinates of the mid-point will be =
`[((x_1+x_2))/(2),((y_1+y_2))/(2)]`

And the length of the segment is =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

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 =
`((-3+5)/(2),(2+8)/(2))`

=
`(1,5)`

Length of ST =
`√((5+3)^2+(8-2)^2)`

=
`√(64+36)`

= 10 units

Option (A) will be the answer.