Question

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

Answer 1

Answer:

Option (A)

Step-by-step 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 = $[\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}]$

And the length of the segment is = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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 = $(\frac{-3+5}{2},\frac{2+8}{2})$

                                                                                       = $(1,5)$

Length of ST = $\sqrt{(5+3)^2+(8-2)^2}$

                      = $\sqrt{64+36}$

                      = 10 units

Option (A) will be the answer.