Question

1. the endpoints of $overline{st}$ are $s(2, -2)$ and $t(4, 2)$. what are the coordinates of the midpoint of $overline{st}$?

(f) $(3, 0)$ (g) $(0, 3)$ (h) $(3, -2)$ (i) $(3, 2)$

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here $x_1 = 2,y_1=-2,x_2 = 4,y_2 = 2$.

Step3: Calculate x - coordinate of mid - point

$x=\frac{2 + 4}{2}=\frac{6}{2}=3$.

Step4: Calculate y - coordinate of mid - point

$y=\frac{-2+2}{2}=\frac{0}{2}=0$.

Answer:

F. $(3,0)$