Question

what is the midpoint of the segment shown below? (1, 2) (1, -5) a. (2, -\frac{3}{2}) b. (1, -3) c. (1, -\frac{3}{2}) d. (2, -3)

Explanation:

Step1: Recall mid - point formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the mid - point formula is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1=1,y_1 = 2,x_2=1,y_2=-5$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{1 + 1}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{2+( - 5)}{2}=\frac{2 - 5}{2}=-\frac{3}{2}$.

Answer:

C. $(1,-\frac{3}{2})$