Question

The endpoints of AB are (4,2) and (2,4). What is the midpoint of AB? O A. (0,0) O B. (3,1) C. (1,1) 0 D. (3,3)

Answer 1

we are asked to determine the mid-point of a segment. To do that we will use the following formula:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where:

$\begin{gathered} (x_1,y_1)=(4,2) \\ (x_2,y_2)=(2,4) \end{gathered}$

Replacing in the equation:

$M=(\frac{4+2}{2},\frac{2+4}{2})$

Solving the operations:

$\begin{gathered} M=(\frac{6}{2},\frac{6}{2}) \\ M=(3,3) \end{gathered}$

Therefore, the mid-point is (3,3)