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=((x_1+x_2)/(2),(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=((4+2)/(2),(2+4)/(2))`

Solving the operations:

`\begin{gathered} M=((6)/(2),(6)/(2)) \\ M=(3,3) \end{gathered}`

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