Question

what is the midpoint of the segment shown below? (-1, 5) (5, 5) a. (1, 5) b. (2 1/2, 5) c. (1 1/2, 5) d. (2, 5)

Explanation:

Step1: Recall mid - point formula

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

Step2: Calculate x - coordinate of mid - point

$x=\frac{-1 + 5}{2}=\frac{4}{2}=2$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{5 + 5}{2}=\frac{10}{2}=5$.

Answer:

D. $(2,5)$