Question

1. given the endpoints of a line segment at a(2,3) and b(8,7), what is the midpoint of the segment ab?

a (5,5)
b (10,10)
c (6,10)
d (10,5)

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 $x_1 = 2,y_1=3,x_2 = 8,y_2 = 7$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{2 + 8}{2}=\frac{10}{2}=5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{3+7}{2}=\frac{10}{2}=5$.

Answer:

A. (5,5)